And that is immunity from personal criminal liability. They did NOT rule that an illegal act becomes legal because he does it, or that ANY other administration official or military officer is covered by the same immunity from personal liability. (VP being possibly the exception, as POTUS mini-me.)
I doubt that even the current SCOTUS could get away with stretching the immunity to cover the VP for criminal acts by trump, if/when he does anything to further those criminal actions. In criminal cases, giving immunity to my brother to get testimony wouldn't give me immunity if I were involved.