Could it be that the Ford Pass fuse was pulled just to disable vehicle tracking? Beyond mere speculation that it was done to start the vehicle, nobody has any evidence why it was actually pulled and and what it accomplished.
After reading this entire thread, it seems unlikely that someone recorded a previous signal from a key fob to get into the truck and start it due to the rolling codes and the truck’s ability to blacklist it.
What’s more plausible is someone setting up relay to amplify the signal distance between the key fob and the truck and vice versa. For this to occur, it seems like it would have to be very calculated and the timing precise. You’d need a very determined thief to pull this off. The truck is reasonably secured against common thieves. If you want, just install “the Club” to lock the steering wheel and problem solved.
It used to be people can hot wire a Honda and drive away. Then they came up with transponder keys but that was easy to replicate. Then they came up with encrypted proximity key (push to start). I hear the next big thing will be NFC signal from your phone to authenticate, which might be more secure since it essentially requires a username and password to enter and start your car—but that will eventually be compromised as well.
Unless the method described could be replicated, I chalk everything the OP is saying as a conspiracy theory. Keep in mind, your truck is already easy to enter via a hammer or brick to the window.
Anyone can pull the TCU fuse and disable Ford Pass. The Telematics unit (TCU) is unrelated to the PATS system. Only a skilled and knowledgeable thief would even know which fuse to pull and which junction block to pull it out of; it's difficult to even even obtain that information. PATS is much more sophisticated; no common or professional thief is going to be able to thwart the system. Your average degenerate crack head thief ends up breaking the window and sleeping in your truck, not stealing it.