What makes games more likely to lean on global state than other kinds of applications?
In games, that's a safe assumption for many parts of the system, since you're definitely only going to be running one instance of the game world at a time. So making that state private just means you have to pass around references to it on the stack, and keep track of what you're doing.
But not if you actually have to keep things around in-memory. Then all the sudden your functions can’t be pure, you have to add additional parameters to each method to account for additional state, and you can’t design flat structs anymore since you have many different object types and they have to go somewhere and you can’t just declare N variables line by line. So you have to grapple with the limited definition of trait objects, or non-extensible enums, or throw everything out and use Any. It gets complicated.