I agree that no T should be issued for this type of situation. Having the roster and starters turned in prior to the 10 minute mark assumes that the team is at the location.
Once they are in the facility, put 15 minutes on the clock and use SOP from there.
But I would NEVER issue a T in this situation.
The assignor needs to address the situation would the administrators who steup the schedule. I understand that there are religions who won't play after sundown on Friday, etc. But what in the world had leaving the school after the sun goes down got to do with anything?