This is the best suggestion imho. Most developers simply don't enjoy documentation because it doesn't "do anything" and good luck to those who say "employ people who will do it" because we all want to do that but when people don't do it, and you fire them, you have an even bigger issue with morale and rehiring.

Putting people on an on-call rota gives them lots more experiences and takes them out of their silos and allows them to see the effect that their work has on everybody else. It also gives them the time to be updating docs without feeling guilty about not coding.