WIBTA if I stopped telling my boyfriend when I get hit on?

I’ll keep this super short. Sorry if this sounds super rambly. I (F24) have been dating my partner (M25) for almost a year. In the beginning when we first started dating we set some boundaries and one of his were, that if I get hit on, he’d like to know. He’s had super bad experiences in past relationships in terms of getting cheated on so it makes him feel more secure/safe when I tell him.

Except lowkey no it doesn’t. When I do tell him it puts a damper on the over all mood for a good hour. He’s not mean or anything, he just gets super worried and pensive. Were they attractive, what did I say, did they ask for my number, did I give them my number, so on and so forth.

I don’t get hit on very often so it’s usually not a problem reassuring him. I don’t ever entertain or flirt back, just a small thank you and I keep it pushing.

I’m currently in training to become a bartender, and I’m honestly kind of worried, because of the nature of my job, I’ll start getting hit on more often than not. I don’t want to unnecessarily worry him and conversely deal with a bunch of questions, when there’s nothing to worry about. My friends are telling me it wouldn’t be a such big deal since I’m not cheating. But I don’t know, I feel kind of guilty lying by omission.