Their rivalry started in Arlong park and that has been the only serious confrontation from what I remember and it was due to their different beliefs.
As for listing almost every arc I am not sure what you meant but I dont remember them going at each other nowhere that much and when they did it was comical.
Only Viz is official and even they dont get it right always. Monster trio was used only once and someone recently provided a panel for that instance.
The monster term in the crew is used for anyone with insane strength, with Franky joining another monster showed up, Chopper went into his own monster form and now with Jinbe joining there are too many monsters. If monster trio existed it was long time ago, there are more monsters in the crew now.
Jean Bart is a notable combatant of Heart Pirates for sure but being 3rd is doubtful since Hachi and Penguin had more screen time and were core crew members before Jean Bart joined. He may be stronger than them but not stronger than Bepo who is a mink with potential Sulong power-up.
We still have to see a crew where 3rd in line is as impressive as the vice-captain.
I don't think Oden is anywhere close to Rayleigh based on Rayleigh's hype and his feats. He isnt close to Scopper Gaban either because those are the 3 highlighter members of Roger pirates. Also, Oden is not a core member, he only joined at a certain point. Having CoC doesnt mean being close to Rayleigh. We still have to see someone who is strong without being known. Blackbeard's case is specific and was highlighted.
I am not sure how much spotlight Sanji will get after Jinbe joins the crew because he is a pure combatant without a specific role as Sanji's.
It's not excluded that all crew get commander roles if it ends up mimicking Blackbeard's crew or Shanks' crew as it seems to have similar pattern.
Still, the captain and his right-hand man are a re-occurring pattern and we still have to see someone keeping up with vice-captains hype especially considering the instances when people thought Zoro was the captain or when they wondered what's the captain like when his right hand is so awesome.
They were serious with who they fought and wanting to do better than the other. You have to check all the arcs I mention as they were there. I can't go too detail about it as it take long while to post, but these arcs are ones with evidence on how Oda treats the rivalry and work with it even serious moments from competing, the two respecting each other (even they won't openly admit it), their beliefs, working together, etc..
It wasn't only Viz who translated it as others did and still got similar results. Also don't think Franky was referred as a monster neither was Jimbei and Chopper is said to be that is due to how he looks, not because of his power. The trio are called Monsters for their 'Monstrous Strength' of the crew and been shown and called out for their power many times. Not saying the others not strong or anything, but they haven't been in the same line or reference as the same as these three in any way.
Just because a character has more screen time doesn't mean they are stronger than someone else or more important. We haven't seen BlackBeard Pirates for a long time in NW, so by that logic, that means they are weaker than anyone else on screen more. That doesn't make sense on how your going about it. Pretty sure Jean is equal to with Bepo in power since pre-timeskip he was able handle a Pacifista more than Bepo who got hurt out of it. By that showing pretty sure both are equalish even with Bepo's Su Long form as we don't know how strong Jean gotten on his end either. So both have to show more worth on their side. Don't think just because your 2nd in command, no one can equal with you or even surpassed you.
Still so far out of a lot of people in Roger's group, he has Conqueror's Haki and was probably main forces if he did have it and could compare with Rayleigh and Scooper if he had it as well or at that position of power. He was kinda hinted as it been mention many times Roger's group of crewmmates were something else including him since was traveling with them along the way to Raftel. Also what does that have to do with anything with him joining later, that he isn't apart of the core? Strawhats have members joined later and become apart of the core as well other different crews. That isn't fact and if your saying because of strength order of when you join, that doesn't make sense as well.
The number of when you joined, doesn't take away your strength the slightest. It's the character's power themselves as example by that logic, Yasopp is stronger than Ben Beckenman who some said is suppose to be the 'Zoro' while Yasopp is the 'Usopp', but from what we seen the flashback of Shanks getting a start of his journey, he met Yasopp first which means he is first mate and Ben came in later, so that means he is weaker than Yasopp (Though haven't seen them in a fight, so hard to say, but you get what I am getting at). Oh with Shiryu who joined BB Pirates and he was 5th and 6th to joined, yet he was the leader of the 1st BB Ship I believe. The order you come in doesn't take away your power as it's the character themselves who make themselves strong.
Which is why Sanji who despite coming in 5th (Well technically 4th since Nami at the time didn't 'fully trust' or 'joined' the crew for real as betray them later) doesn't mean anything as he is still stronger than Nami and Usopp. Actually Nami was the first one meeting Luffy before, so by that logic Zoro weaker than her, huh XD? Though seriously yeah, it changes nothing what order you come in when joining, so for all we know, Oden could have been equal to Roger by Oda's mind, but we have to wait and see, but so far with the hype and his background so far, he was a fighter and strong one at that if he has COC since many COC so far prove to be quite strong and legit to have it. Oda doesn't put that on anybody for laughs or minor thing.
Also Jimbei won't change much with anything. Sanji still apart of the crew and main fighter. Nothing so far shows Jimbei is at their level much since like many others, we never seen him in a full fight and he only fought a few things with mostly fodder. Don't think it changes anything from the dynamic especially right now in Wano Arc, Oda is setting up future opponents for Luffy, Sanji, and Zoro while Jimbei probably will come later to the party and fight more Big Mom's people than Kaido's people.
Not taking away about hype of Captain and Second-In-Command, but just saying along with that there also fighters in there in some crew ships and not just those two rankings to look out for only especially Oda is making Luffy's group another 'Yonko Group' which means it be a Yonko and his Commanders which he obviously will have more than just one.
. Knowing Oda he always put them as rivals for life on the crew. Roger Pirates already done that, but do agree and few crews will have that as well than just the strawhats. I think Kidd Pirates will be at Yonko lvl if Kidd and Killer are destined rivals for the two and can see Law and perhaps BlackBeard crew having that too.
. He wasn't shitting on Zoro for not saving nami and Usopp, he was pointing out the amount of courage and respect Zoro has for Sanji since he was so relieved when he showed up.
