I can get that completely stopping the passage of time for myself would be nice. Think of all the things I could fix in said frozen time! That paper that's due tomorrow? I don't have only 2 hours to finish, I have as long as I like! Somebody falling off a building? Stop time and move something soft in place! Burning building going to collapse in 10 seconds with people inside? Not anymore! Somehow, the people are all outside! I would see time-stopping as something that would actually freeze the passage of time, like stopping everything. It wouldn't go on outside, it would just stop, and then when you're done, start again right where it left off.