Some servers last days I’m pretty sure.
If you’re updating a new game constantly that is getting a lot of attention, perhaps each update change the max player count. As long as your game doesn’t rely on a specific amount for a full game to be played properly, you could note which max players equal what update. And shutdown old ones if you notice a bug in the X max player servers.
Edit: I agree more control over our servers would be good
Changing max players shuts down all servers, innit?
I don’t see anything warning me, so I would assume no (my real max players is 40). At least, a few years ago it did not.