Same barrels, same assembly, similar parts, similar accuracy potential......
But I'm with VT, only reason id buy the Axis is if i couldnt afford the 12fv. If that's the case I'd buy used, or get RAP.
While the basic mechanical accuracy would be similar, if not the same (again every rifle is an individual), the 12s is nicer. It comes with (arguably) a better stock, larger slightly longer bolt knob for better leverage, a better action that is properly sized for the cartridge, and offers you more options in aftermarket support.
There's more to useable accuracy than just the mechanics of the rifle.