This isn't true, and I have the patent(s) to show it.
I developed (along with some truly talented security professionals and cryptographers) the active RFID security system for KIWI, a residential access control system here in Germany. One of the requirements, aside from not keeping a central log of access, was that the system should not work if you were further than 10 meters from the door you were trying to open. Things like measuring signal strength, etc. were not an option, as you might imagine repeaters render that moot.
Ultimately, it comes down to fairly tight timings, the speed of light and the rules of physics, but we could restrict things such that the cryptographic handshake would fail if you were more than about 30 meters away, corresponding to a timing window of about 0.0000001 seconds.
We offered to license the technology to car companies, but they weren't interested.