I own a pile of antennas for ham radio, I own a bunch of TV tuners, because they're usable as software controlled ham radio receivers, I own a television, and I own a laptop that sometimes gets plugged into that television.

That might make me look pretty guilty, but my TV isn't connected to an antenna, and I don't watch broadcast TV.

The bar for evidence of a violation needs to be higher. It's possible to own all of the equipment without ever having violated the BBC's licensing rule.