No, they shouldn’t be avoided or separated.
That said, this particular topic of swatting, it could well be moved to P&R. The fact the swatting can be done in the context of a game stream has little to do with the swatting itself, or the police itself. Gaming in this case is just ‘activity x’, it isn’t particularly relevant what activity was.
Yes, most streams are gaming streams, but that’s more just how that medium has started, it ins’t inherently tied to it. If a person is swatted, and it was streaming… I don’t know, an tech unboxing, would you put int in the Games forum? What if instead was a guy discussing a film?