I think what's happening here is your power distribution box cables from the the battery and alternator have corrosion on them or they are loose and all of a sudden you loose power and get it back but the pats has been activated and when that happens you need to stop it with the key fob to get out of theft mode also check the battery cables all connections must be clean and tight do not use wire brushes on the battery cables and post it rips them apart causing loose connections and breaks in the power at times you must not be able to twist the cables alcohol or window cleaner and a rag will do a good job and when you see blueish green or white powdered acid build up use light steel wool 4/0 to remove it back to clean metal also do your starter cable lugs and your engine block ground and the fuse blades and relays under the hood and see if it stops it should and please post back to me in comments if it does fix it or doesn't so we can keep going to the final fix understand that I'm not there to check myself so you have to be specific in your post write down everything that you've done ok but my experience tells me your having a break in current and that will cause your nightmares described here also clean smart junction fuse and relays blades you should have your owners manual for fuse item locations if you don't go to Ford fleet.com and download your manual then go to roadside emergencies and your power distribution and smart junction box diagrams are there with values and relay locations check for all cables that there's no corossion traveling inside the insulation to good luck Stephen I'm pretty confident that this is a loss of power symptom

Yes it can but need to find out how it was corrupted