Our original TV was a 2013 F150. Our camper is probably 7500-8000lbs loaded up, closer to 10 if we put the RZR in there. So, within the capacities of the F150. But, it was a nightmare to tow. We live in a windy area, and most of the places we go are windy as well. We had some very scary experiences, the worst of which being when a tour bus and then a semi truck passed us in succession on a 2 lane highway (this was on highway 191 in Wyoming between Rock Springs and Pinedale if anybody is familiar). We had a WD hitch, Equalizer, airbags on the back of the truck... pretty much everything that's recommended to optimize towing. That truck was just too light. (ETA: we also got new tires appropriate for towing, even though the original ones only had 4000 miles on them, still didn't help)
We upgraded to an F250 and the difference was like night and day. I honestly don't see why anybody would buy an F150 to tow even an average sized trailer if an F250 is an option.
Side note, I also sometimes drove the F250 to work, 40 miles round trip, when he needed my SUV to park at the airport or go to downtown Denver for work, and it was fine for me to drive and park, even in rush hour traffic. Now we have an F350 DRW and it is not really good as a daily driver. The F250 also held it's value very well, they gave hubs more than he owed on it when he traded it in after a year (we're planning ahead for a 5er).