[oh_sigh]

"Milk" still means "cows milk" at every coffee shop I've been to, and I would be embarrassed to say "cows milk", as if I'm importing some internet culture war into the real world. Literally everyone will know what you mean if you say "with milk", unless you are at some specifically vegan coffee shop.

[tarboreus]

In NYC, and this is no longer true or assumed. I think oat milk is the most commonly used now. I have to say cow's milk pretty frequently just to get cow's milk, though I could probably get away with saying "regular milk."

[oh_sigh]

I live in the UWS and this is not my experience

[mbg721]

Yes; "milk" with no qualifier is what comes out of the dangly bits of cows. If you order "eggs" at a restaurant, expect something that's been inside a chicken.