Some might. Google had an exodus of some dozen to two-dozen high-performing engineers in the past 2 years resulting from multiple controversial management decisions.

I don't expect FB to see an exodus more than sub-1% over topics like this, but the company can feel outsized impact if the sub-1% are 10x engineers... Or decide you can air any dirty internal laundry you want once they're no longer buying your silence and there's good dirt to share.