I’ve heard some alternate interpretations of that scene.
The whole film she is doubting herself and trying to place the responsibility of saving the galaxy on Luke and then Ben. She’s desperate to find out where her parents are and why her parents left her, only to discover her parents sold her for drinking money. She was a nobody, and she meant nothing to them.

So in the end, when she says she’s Rey and someone says, “I know”. It validates her identity in a way that says she is important. She has already begun to forge her new identity, and Poe has acknowledged that.

I don’t really care about how TROS retcons that or how it contradicts the TFA novelization. I don’t see it as romantic. It is just Rey, who sees herself as no one, realizing that someone actually does know her, and that’s a big deal to her.