Trust me, it would DEFINITELY make people want to bother you. Especially drunk people. Drunk people are annoying.
Bars are hell for me. I avidly avoid them.
Maybe go with some in-ear earplugs. They might help a bit. And they’ll keep the majority of drunks away.
I rarely go out to bars, one of the reasons is because of the noise (the bigger reason though is because I’m broke).
Perhaps trying to find a bar that has a more quiet space (like a patio during the summertime, or a separate room that doesn’t have loud music) would help. Of course, finding those spaces is trial and error in itself. Some bars have websites that have details about the kind of environment it provides. For example, restaurants with bars attached tend to be quieter than nightclubs, since more of the focus is on the food than the dancing (or the hooking up).
Have you tried texting out your message then showing your phone to your friends?
I hope this has helped at least little bit.