That's just incredibly untrue. It's FUD spread by OOP and FP zealots.
> All those global things are a common source of bugs, as different pieces of the program make subtly different assumptions about them.
Do you want to say that my logging routine is more complex because my windowing handle is stored in a globally accessible place?
> Perhaps a certain amount of global state is unavoidable. That's not an argument against minimizing it.
My advice is to make clear what the data means. Make it simple. Don't put a blanket over what's already hard to grasp.