This question is very close to this: How does Super Training work?, but I would like to know one thing in particular: Does leveling your pokemon also reduce the amount of super training one can complete?
I would assume that EV training does, but using the newly-upgraded EXP share (that now affects your entire team), could I accidentally cut how much EV I can accomplish? My friend was playing for a while, and he saw that, although he hadn't done any Super Training, some of the green bar on the right had filled. I don't think he was thinking of EV impacting it (it was on one of his main fighters that he noticed this), but I would like to be sure just in case.