Very good point, I'd add an 85cm axe and ultralight gear (titanium ___) don't really go together.
While a long axe might plunge into ideal bottomless uniform snow, as we know more likely than not it will hit resistance if not rock or solid ice, then half out it is probably a better lever (like a digging bar) than anchor. Holding a crevasse fall while plunging both myself and an axe shaft to the surface is easier with a short axe.