In larger teams, you normally have 24x7 staff. So the reboot schedule goes to the current shift to monitor. It's only shops that lack round the clock scheduling that have this as a real issue, and if you don't have 24x7, shouldn't you be outsourcing to a shop that does if you really need that at all? I think that this normally (maybe not always) becomes a problem when you are dealing with layers and layers of other problems like not having enough IT staff to properly staff a department without causing unnecessary cost and risk and choosing not to outsource to an MSP/ITSP that could do this cost effectively.