Are you describing the current state of on-call? Because that is what it is.
There should be no rotation; there should be no on-call in the first place. If hiring staff to work normal hours is too expensive for the company, then the company has bigger problems than a service going down.
There should be no rotation; there should be no on-call in the first place. If hiring staff to work normal hours is too expensive for the company, then the company has bigger problems than a service going down.