I like the concept of putting managers on some sort of performance track. That is an interesting idea. I wonder what organizations would look like if this was allowed to happen.
Speaking as a manager you'd be surprised (actually scrub that, you wouldn't) how often when I raise concerns the team has the instruction comes back "screw what the team thinks or wants, just do X" (where X flies in the face of what the team want and best practice but supports what the screaming customer and short term revenue demands).
Organisations that genuinely care about the staff I don't think would change much, those who don't won't ever do it so it's kind of moot.
Probably microscopic shitstorms, not large ones because only a minority is affected. But in the long run it would probably change everything in organizations with management problems. I think hiring policies would also change a lot.