Keys wouldn't stop this attack, they're simulating the key the way a screwdriver would in the ignition of an older car.

This is "keyless theft" meaning "you can steal the car without the keys" not "you steal the car leveraging keyless entry."

Keys, those things that rely on pins getting pushed by a piece of metal?

Not much of an improvement. Without a transponder in the key they are no more difficult to bypass than a light switch.