This used to be a thing! If you see on the home page above the banner, it says "Game server is online with XXX users playing, for details see here". However, it doesn't seem to ever really be functioning properly, as when the server was down yesterday it still said that the game was online. Back in 2015-2016, it would in fact say "offline" when the server was down. I'm not sure whatever happened that it no longer works, of it it's a thing that needs manual updating that simply never happens, even though the player count is usually fluctuating as players log on or off.
I'd love to see the server status feature functioning again.