Ok, I'm calling this one a hoax. Big time hoax.
I am an electronic engineer, plus I'm the sales manager for a company that sells radio based automation systems. I know radio, I live it every day at work.
First lets begin with the key fob. Per the manual:
This transmitter complies with FCC rules part 15. Operation
is subject to the following conditions:
1. This device may not cause harmful interference.