I would have to drink to the point of getting sick from drinking before I would get to extreme drunk!fic incoherence.

Same. Mostly because I remember making some drunk updates to social media when I was younger, where, despite being quite drunk, I still managed to write correct (if vaguely embarrassing) sentences. ;)
I wonder if it's because I'm writing in another language - I noticed I wrote slower yesterday, because I had to think harder about what I wanted to write in English.

I guess it's something to work on in the next round - accepting that my English is going to get seriously weird, if I write while drunk.