The entire point, rightly or wrongly, of keyless entry is that you never have to touch the key, simply have it somewhere in the vicinity of the car, such as in your pocket. No button pressing or user input. You approach the car and it is already magically unlocked and ready to be started, usually via a starter button on the dash.

Therefore the same concerns regarding relaying still apply, unless I’ve misunderstood your reply, but your later post suggests pressing a button on a key. If buttons on the key are pressed, this ceases to be “keyless” as the car industry understands it - this is back to conventional remote locking.

This is precisely how it works already, exactly as you described. The issue is that the relay just boosts the signal,so the car thinks your key is nearby, while in reality it's in your bedside drawer.

Why not relay that, too?