Maybe I'm misunderstanding how the push button works because I've never owned a car that had one, but I thought the whole thing was that the key fob just needs

Maybe I'm misunderstanding how the push button works because I've never owned a car that had one, but I thought the whole thing was that the key fob just needs to be near the car in order for the button to actually do anything. And these car thieves are repeating signals from key fobs that are inside the owners' homes. At least with a physical key, it needs to be present and inserted into the ignition to start the car, you can't use any technology to help there. Of course there are other ways to steal a car, but it at least deters these modern techniques.