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For your truck, because you may have accessories, use the GVWR minus the actual scaled weight to find out your real world payload capacity.

For that camper, use 12% of the GVWR to get an assumed tongue weight.

If you have enough real payload capacity to handle the assumed tongue weight you'll be OK. If you are very close or over your capacity, you may be uncomfortable with how it tows.

Adding LT tires and air bags will improve handling but do not change your payload capability.

I upgraded to my F-250 because after scaling my F-150 with my current TT I was overweight by 600# on payload and just over the rear axle rating. I have family of 5 in the truck.