TOOOOOO many variables in this hypothetical encounter to argue about being patted down, and when an officer would do so, but we both know that any officer with some time on the job follows his or her training, legalities, and immediate circumstances, as well as his or her gut feelings about a pat down. I'm sure you didn't pat down anyone unless your hackles were raised and you felt a concern about your safety or contraband.
We could have a great chat and go on and on about it, but it was only meant as a consideration.
You may be correct because most LEOs who work in the wilderness or wildlife areas are usually on their own and far from a back up. This factor alone may make them more apt to pat down persons they encounter. I never worked in a position like that so I don't know how I would conduct myself. It would be interesting to get an opinion of a retired LEO that worked in this rural capacity.
Any outcome of the encounter would ultimately depend on the circumstances, and interactions of the LEO and the person(s) involved.
Good thread and food for thought.