My tiny website doesn’t need a CDN and doesn’t need atomic updates.
I don't understand what you mean. surge.sh and statichost.eu are both small vendors that offer redundancy. Are you saying they're not really small or not really offering N+2 reliability?
As I mentioned upthread, statichost.eu uses Bunny under the covers, and I think you'd be hard-pressed to argue that Bunny isn't a CDN.
surge.sh has servers in 10 regions.[0]
It's not trivial to run a static host with redundancy in multiple regions, but it's also not so absurdly complex that only large vendors can achieve it.