I've beaten the original XCOM (UFO Unknown) on Superhuman with a single soldier
The bullshit is strong. Short of a fluke where you managed to start with a 100 psi strength soldier who also had amazing stats you would lose every single mission against mind control. Since you can't see psi strength until you capture a psi enabled alien...
And he'd be strangulated by the first stealth aliens too since you can't make a respirator without first having an autopsy. If he played enemy within he would never complete any hacking ops without at least 2, which I already highly doubt. Also wouldn't have enough turns to save everyone in Terror Missions.