The brutal, national, standardized exam is what you get when you eliminate all the other barriers to going to university. It means every single student is in competition with one another to get accepted.
Shuffling staff around between schools just sounds like a great way to drive all the best researchers to the private sector while driving all the best teachers out of the profession entirely. Forcing people to move around to different cities for their job means you are selecting heavily for a particular “nomadic” type of person without any attachments to the local community. Sounds absolutely awful to foist that on educational institutions who really ought to be in the business of fostering community.
I mean that’s easily fixed by just shuffling teachers within commuting range and also only doing the shuffle every 4 years or so for kids to maintain consistency while reaching the stages of development.
Of course there could also be a higher payed tier that can get shuffled further afield for those fresh faced youngin teachers that haven’t settled down yet.
I think you’re still going to alienate teachers with that kind of shuffling. People form relationships with their colleagues. This is especially the case at universities where your coworker may be one of a handful of people on the planet who actually understands your research.
But also I think you may overrate the impact of teaching skill on student outcomes. Universities barely teach their students at all. Apart from lectures, they assign course work and conduct examinations. By far the majority of learning in university takes place alone, when the student engages with the course work. It’s often the case that students will pass a course with a decent grade having never attended a single lecture.
The truth of the matter is that most of the value of a highly selective university is the selectivity. There’s nothing that makes a teacher look brilliant more than having brilliant students. The top schools like Harvard could honestly eliminate lectures entirely, just keeping coursework and examinations, and their students would still be the most sought after.