I yearn for an app permission of the form "can never access the network, period", and I don't just mean that it can't initiate or receive network requests, but also that it can't receive updates. In other words, once you install it, both you and (more importantly) the developer understand that the game is done. It's apparently unimaginable to people today, but this is how games worked for decades (and yes, every game that was worth its salt Just Worked, without major bugs).
Manually blocking connections for computer apps or disallowing automatic updates on phones often leads to "you must update the software to continue using this" block. It happened constantly when I had an Android and didn't allow updates because I was effing tired of developers messing up something that worked perfectly as-is.