Earlier quoted context omitted.
Crows definitely get drunk, on purpose, by eating rotten fruit & berries, so this is plausible - although formic acid to the skin seems less fun - but then I'm not a crow.
Rotten fruit has a lot of calories in it... Perhaps they aren't intentionally getting drunk, but merely trying to get those calories and being drunk is a side effect? Being drunk as a bird wouldn't seem to be a good idea from a survival point of view ...
Being drunk as a human is also not a good idea from a survival point of view given how often drunk people kill themselves doing stupid things.
Crows engage in play and form complex plans that show they understand that actions have consequences so it doesn't seem unreasonable that they might occasionally decide to get drunk and roll around on the floor screaming.