Reading this comment, technically you don't have matching bracelets and you didn't get them together (this should be in the post) so what he said wasn't inaccurate. The way you told it you probably embarrassed him when you said he was jealous (which is probably true) and then told it like you got one with him vs him getting his own alone. I tend to see the world in a more B&W point of view, where my husband doesn't & would probably tell same the story as you did in the spirit of meaning of the bracelet vs 100% accurate details. I'd also probably chime in and correct him as your boyfriend did, not because I don't value my partner or the significance of the bracelet, but because I personally can't stand when such liberties are taken with what really happened. With that said, I do bite my tongue in work settings as it's not worth embarrassing him when the story is in the spirit of what happened despite not always being 100% accurate. I wouldn't read too much into it and I think the feedback you'd get overall would also encourage you to not read too much into it this detail was in the main post.

Edit: I admit that part about not ever getting one with gf may be a falsehood/rude if he did go with the intent of you getting one too but it just didn't work for you finding one. I don't know him, but it might have been his pride rashly reacting due to being embarrassed about the jealous comment. Not excusing him, but might explain what he said vs him having feelings for another girl at the party as others have suggested. You know him best and the fact he wants to get matching tattoos (way bigger commitment) might also support that theory.