Tempo -- # of turnovers should be considered in conjunction with # of possessions. 10 turnovers in a 50 possession game (ie -- 58-52 final) is worse than 20 turnovers in a 110 possession (125-100 win).
Michael Jordan got cut from a basketball team in high school.
One of the greatest myths out there... just not true.... he did not make the varsity as a sophomore (which was pretty typical at his school - one sophomore --tall -- did make it). He play junior varsity as a sophomore and varsity...
issue is not so much the field being better.... it is the time the coaches would have to spend AWAY from the current team / training for interviews, offers, etc. and then getting the new person up to speed on what the overall plan is.
Almost always when a big name coach retires, there is a slide (at least for a while). Probably the only instance that there wasn't is Kansas (Williams to Self). Looked at what happened (for a while) after Dean Smith retired. Even Kentucky had some ugly years.