Nah, he could do a back-flip with a sixty pound sword in scene one. That is already so far into the realm of superhuman that he gets a pass. For context in the real world an unreasonably giant sword is 12 pounds. His sword is ast least five times that. Probably more actually. And he can do one handed flourishes with it. That is above Olympian level strength and control. So that goes a long way to establishing he is a super soldier.