I think the timing method relies on a challenge response. In short, one side sends something and the other side expects a reply within some amount of time.
If you just simply add distance to the system with no additional overhead. The time it takes for the ack should go up in a measurable amount of time.
And if you did anything more -- like some of the system do today -- where they make a generic pipe that pipes it over the internet via LTE and back -- then for sure we would have a ack way out of the time tolerance.
Method 1
(car){signal amplifier}<-------->{signal amplifier}(keyfob)
Method 2
(car){transceiver}[LTE]<-------->[LTE]{transceiver}(keyfob)
To my knowledge most of these systems work but using some sort of out of band transmission over other wireless means such as WIFI/LTE/or simply another band.
The second method they use has to do with rolling codes. Where they jam the signal and intercept your keyfob code, preventing it from reaching the car. They store this and when the target realizes they did not actually lock/unlock they car they attempt to unlock it again. This time they jam the signal from the keyfob to the car, but replay the code they intercepted the first time, and saving the last code sent from the keyfob for later when the target is not around. This method works for more than just cars, it can be used for most rolling code systems.