What if the antler pickaxe was the same, functionally, as a real pickaxe of equivalent Q, but it broke after a somewhat random number of tiles, so it only served as a temporary reprieve from how awful stone axe mining is. Like a short-medium length early-mid-game mining boost that's an item. Make the recipe take maybe three antlers, glue, whatever so it's not completely trivial.
I do kind of agree with Shubla that adding a Proper intermediary step between axe and pickaxe would remove a pretty big, like, feel good progression jump from the game. For new players, is mostly what I mean.
What I posted is supposed to be in line with something like how you can use clovers to get milk/wool before you domesticate, but only in a pretty limited fashion.