I had a similar issue today... Conveniently enough, it happened at the dealer when I was picking up my car after having the TSB applied for the P2183 code issue. They handed me the keys, and as I walked up to the car, it wouldn't unlock with the fob. Fearing a dead battery, I manually used the key to unlock the drivers door. The touchscreen lit up so it didn't appear to be a battery issue. When I placed the ignition to "run" the car alarm went off and the display said "No Key Found" (as per my settings, I got the MFM text telling me the alarm was active). After a while, the horn turned off and the hazard lights kept blinking. Since this was in the dealer's driveway, I just walked back to the service department. They tried a few things (including attempting a jump in case it was a battery issue), to no avail. Eventually, they pushed it back into a service bay and had to "reprogram the key" to get it to work. Seems completely random, because I assume they moved the car once or twice after the other TSB was applied without any issues.
As soon as I got home, I tried my other key, and it is still working fine. This has me a little concerned, because if it had happened anywhere other than the dealer would have been so much worse, because I don't routinely carry both keys with me. I'm hoping it was a one time fluke.
Not sure if/how it's different that what others experienced in the past, but I have an SE, not the Titanium. So I can't just place my fob in the backup slot, because the key needs to be in the ignition for the car to move.
GIven the TSB is from May 2013, and my car was built in August 2013, I'd hope that it doesn't need a software update. I don't know if that's something that can be looked up by VIN, but I also hope the dealer would have checked while it was there.
Mods and Enhancements: Nushield Triple A Touchscreen protector, DMB graphics sterling gray Ford logo overlays (front, rear, and wheels), splash guards, 1.4" stubby antenna, chrome lower grill slats, LED reverse lights, LED strip DRLs (foglight housing), Steeda hood struts, Steeda strut tower brace