Most likely it would. If your copy of the game slows down, then your opponent's have to as well to keep in sync to your delayed game time. You are no longer playing the game at the same "time" and if it didn't, you would no longer be "in sync"; otherwise known as desynced. (I'm sure desynced is applied to any falling out of alignment or agreement between running copies. This situation is time alignment/agreement )
As I understand it, the original strat for that was to straight up stop the faster machine and have it wait for you to catch up. When you "lose inputs" it potentially could be because someone pressed a button during a sleep state that wasn't paying attention to inputs when sleeping. I think most games have figured out more graceful solutions to that part, but people keep talking like MK1 isn't really keeping pace with current rollback quality unfortunately