I'm curious about the exact mechanism for this. Is it typically a single short-duration event that has lasting effects that destroys the community (e.g. a news article that drives traffic 100x what's normal to the site)? A permanent change in the environment (eternal September)? Or just the steady, accelerating accretion of new members, which at some point overwhelms the ability of the community to incorporate them to existing norms?
Or is it more that once a community gets to a certain size, it's subject to a kind of broadcast storm?
I wonder if a technical solution could mitigate against those risks. You could limit the number of public access tokens that can be issued at any one time, and have strategies in place to allow more long-lived tokens and registration for regular visitors.