My two aren't in school yet but they go to childcare/kinder a couple of times per week.

It varies a lot. I definitely prefer it not to be on BUT if it means I can go and get dressed without the girls following me into the bedroom and DD2 climbing up on to the bathroom sink and messing around in my lipsticks, then I will happily put it on for a bit. (DP is often sleeping off a late shift so is not always up in the mornings).

If I'm all sorted before they get up, then no, I'll use that time to give them breakfast/get dressed etc.

If the TV is on, there's no way they'll get ready at the same time as watching it.