Anecdotally, I can say that their effect is already bullshitting indeed:

When being in a random conversation on the "normal kind-of-average people Internet" (Twitch chat), discussing a subject where the host doesn't know a certain word, people already are pasting ChatGPT definitions of the word into the chat, believing it's some kind of dictionary or whatever.

If you tell them it could be completely making things up they'll be like "yeah dunno but it can be a nice overview of the topic".

So people will treat it like the new Google, with no idea (or no concern?) that all it does is mash words together because they're likely to occur next to each other in an arbitrarily defined reference dataset of text which was likely downloaded from random places all over the Internet.