i think ive figured out why the bedrock axe crashes anyone, its if you try and break a tree that someone has already edited, or you have already edited the wood blocks in it. Ive done some test and that seems to be the only reason it would make a crash, so before you break a tree with one make sure none of it is broken already!
I'll do some independent testing on this myself as well. Sounds promising though. IF this is the case, I wonder how hard it would be to implement a plugin with the axe that would do something like: right click while the axe is equiped on a part of the tree and it would tell ya if its been messed with already.