School being daycare or not has nothing to do with this issue. If your child needs to be somewhere at time T, you as a parent typically need to take them there at time T, so you can only arrive at work at some time T + delta.

Now, while companies often have absurd requirements of their employees' time, I specifically chose the Wal-Mart example to illustrate a non-absurd requirement: a site needs its store clerks present at opening time to be able to open at opening time.