I doubt the idea this can be proven at all. It makes the assumption that a simulation would have to function in a particular way. Why would that have to be the case? Anything you find could just be a quirk of the simulation. Hell, the simulation could be made in a universe with entirely different rules and logic, so you can't make assumptions about anything. It's really not something that I think could be disproven or proven.

(Because it can't be disproven or proven, and it doesn't change anything either way, you should live as if it isn't real probably. It's a fun thought experiment, but you probably shouldn't hold an active belief in it, because it seems like something that could mess with your mental health.)