Look. It all comes down to numbers. How much does the Camper weigh empty? How much weight in gear, food and water will you be carrying? Add that all up.
Normally an F150 has the capacity between 1500 and 2200lbs.
Your 2016 Ford F150 would appear to be outfitted with a 5.0 liter v8 or the 3.5 EcoBoost and the Special Heavy Duty Payload package. That is the only way a 2016 F150 could reach 3200 lbs of payload.
That amounts to what we used to call, a "Heavy Half." A half ton truck specially outfitted to approach HD status.
So the sales person is correct in general terms. But you have a special case.
Although I dont tow much at all compared to
@highboy4x4, I wouldn't say GVWR is a dart game. These numbers and capacities are arrived at based on frame strength, engine power, weight of the vehicle itself and wheelbase. That's why a short Wrangler pops a wheelie when it tries to tow too much - not enough weight spread over a long enough wheelbase.
Whereas a 4x2 (4x4 weighs more) pickup, single cab, 8 foot bed with v8 power and tow package (and larger batter brakes, even) is at the top of the tow and haul capacity range, and a similarly set up 250/2500 series with a stronger frame and motor can tow or haul so much more.
For me, not being a professional and only having a 1500, I try to keep my hauling to 2/3 capacity and towing to about half capacity, just for longevity of my truck.
One man's opinion