4x4 or 4x2 is a personal choice. Honestly in my 30+ years of towing a camper. I have never needed 4x4. I had them, and have one now, only because it had everything else I wanted. 4x4 did not enter into the decision.
Honest truth. A 4x2 truck will tow better than a 4x4. It will be more stable. Why, I don't know. But my 2WD trucks have all been more stable, and steady than any of my 4x4 TVs. Maybe it is the height. I have talked to others that found the same thing. 4x2 is just better for towing. My 2004 F150 4x2 was much more stable than my 2013 4x4 is. Neither has sway problems. But I can feel the TT more with this truck.
So it is your choice what to get. Your money, your truck. You are the only one you have to please.