drunk speech, babbles, and accents - how do you handle them?

Wasn't sure if this counted as a question or a discussion, I suppose both?

Anyways, I have read plenty of classical stories where authors will phonetically write this sort of dialogue. (think like "'ave" instead of "have" for someone with an accent), but I'm curious how more modern audiences and writers are doing it in their fics.

Do you shy away from it? Letting prose dictate that speech is slurred or accents exist? Does it come off as childish to you, or dated? Or do you want the audience to know exactly how this character sounds from the get-go? Curious what the sentiment is these days.