At least I don't see any of them in this game. Doesn't matter though, I'm also getting beeswax from pumpkins, carrots, beetroot and hemp. And probably all the other crops out there. Point is, all crops are good for getting wax.
Well being a mushroom chantrelles are actually a type of Biota rather then a type of Flora (Fungus are not plants).
I waited about a week before I started to get any wax. One of my Hives has never given me any where as my two newest ones have given my 2 each. Sometimes I think there is a high amount of luck involved though I have found having carrots near by seems to work well.