Good luck telling a pitcher that he has to get 6 outs in a row when you do this weird flip. There is no way this would ever happen.
Guy has a no hitter going through the 6th inning and now flip the innings, stay on the mound and throw 20 more pitches and you lose the no hitter with 2 outs in now what is the top of the 7 because you just actually threw 40 straight pitches.
WOULD NEVER HAPPEN.