Unlike with Windows I seriously doubt that. Windows reboot is unpredictable and a) can break your work flow and b) can possible corrupt your unsaved data, calculations etc.

Router reboot is simply a network outage for 2-3 minutes and routers that can do auto-update also always support configuration it. E.g. Reboot at 3am in the night, only on Monday and only if there had been new firmware in the last week. I can assure you that it is neither disrupting nor noticeable at all. Router boots neither break work flows nor corrupt your data (in SOHO segment).

It could and likely would be configurable. The problem is the people who plug the router in with the default password and forget about it.

This would solve that while leaving it configurable for technical users.