Yep. The system assumes that whoever has the fob (or a copy) is authorized to drive the car...
As long as it sees the right signal, you are the owner. It’s just a virtual key. It doesn’t require a physical cutting of the ridges, but it is a copy.
Interesting. That would only work with the modern key fob that unlocks the door when you get close to the vehicle. My old 2003 F-250 fob wouldn’t start the car because it isn’t a push button ignition.