No they won't. They'll still keep their same schedule, and parents will have to figure out how to deal with it. Some don't have family members that can help, and some enterprising daycares will open up early for school kids to deal with them before school.
Of course, the buses won't run that early, so only well-to-do parents will be able to use those daycares in the first place, leaving poor parents even worse off than they were before.