I guess it comes down to what you see as romantic, and clearly, you see two people talking as more romantic than one person sharing something he cares about deeply with someone else and only that other person.
The fun thing is that since we only see him share it with Lucy, and we know that it's a special keepsake from Ignell, you can infer all those different scenarios but have no proof to validate it.
Well in chapter 2, Lucy asked for his scarf becaue she was cold and he wouldn't give it to her.
In chapter 105, after Natsu got punched for sniffing Lucy's armpit and telling her she needed deodorant, Lucy accidentally stole the scarf leading to sick Natsu breaking into her house and sleeping in her bedroom to get it in chapter 106.
So at least by fighting festival Natsu wasn't comfortable with Lucy having it. Even while deathly sick and heading home, he changed course to get it back.
On Tenrou, Natsu lost it and Lucy returned it while Gray returned it to Natsu in Tartaros.
And Natsu has gotten furiously when he thought Zeref polluted the scarf and also when the Tartaros demons stole it while he was in jail.
Whether or not the page is romantic,
To me it shows two things:
He isn't Isn't hoarding his possessions (like a dragon), which might be a thought that has came to him after Igneel's death..... something like value the living and not th dead type of mentality. So while the scarf is important..... it's just a material object.
And even tho it's slow development (like 400 chapters too late). It is development between Natsu and Lucy. Because once he didn't want her to have it, and now he does.
Whether or not Hiro is trolling shippers or the fandom is reading too much into it.
As for talking romantically.... Lucy has been shown blushing while in conversation to Natsu, Loke and Gray. So on that note, she has romantic moments from all 3.