I knew I better had to edit that one, but I thought the point was made pretty clear. Yes he was both the strongest man and an emperor. Nobody cares...
First things first. Don't tell others what they are allowed to do, here compare two characters of [nearly?] equal status within the OPverse. Both are at the top of the pirate world. Newgate used a sharp weapon too, therefore he was a swordsman too, since I doubt we need to classify characters as axeman, knifeman, longswordsman, etc. We have no clue if Shanks has a DF or not. And of course he has more than one title, Member of the Pirate King crew, Red Hair and Emperor. :P
If I get annoyed from anything, it's your biased or just wrong comprehension of the manga. "All evidence" you have is Dracules title. Him mentioning that Mihawk decided against further duells because of the loss of an arm is not evidence for any of those two. It just shows that Hawkeye doesn't see him as a complete swordsman anymore. Looking at the huge size of Shanks sword it's clear that it may rather be used with two hands than with one.
Newgate was weaker than at his prime and still the strongest person in the whole world.
And as TLS has already wrote in the phrase you quoted, haki, swordmanship and power and not one and the same. Like it or not, I don't care.