Re: Possible Solution
If anyone can program the keys, that includes a thief. Your car is so vulnerable that any insurance you have against theft ought to be invalidated.
Anyone can program the wireless keys, exactly as anyone can pick locks, or make a key that will open them. Very few actually do this, but, as with the wireless keys, there are lots of online tutorials on lock-picking and locksmithing. Anyone can use Aircrack or Wireshark to break into a network, and there are lots of online tutorials on how do use them, too.
Let's see... by your logic, all Toyotas should have their anti-theft insurance revoked: https://www.carandtruckremotes.com/how-to-program-toyota-replacement-keyless-entry-control-remotes.html
and all Fords: http://www.keyfobprogram.com/ford-keyless-remote-key-fob-programming-instructions-1/
and all GM vehicles: https://www.youtube.com/watch?v=_8NKVNdhEJc
and all Nissans: http://freeremoteinstructions.com/nissan/
Do you really want me to give more examples, or do you want to concede that perhaps you might want to rethink your position?