As he had in HIs PC days?
I would, as long as he could go forward into the Legion time when need be, and as long as it was established just like in Dr Who, he cannoiyt affect established historical events!
Along with super intelligence, super speed rivaling but not quite as fast as the flash and dam near planet pushing strength! They have watered Superman down so much, He is just another hero! When you have fans complaining about how he handled the rest of the Justice League in the movie, You know you have gone too far! Superman was always supposed to be the most physically powerful being on earth! He looses something when you screw with his power levels!!!!!