^My takeaway, from real world experience, is your truck is fine for that camper, with some minor upgrades to handle the weight better.
You may or may not believe that. Depends if you believe the folks who believe if you exceed the factory “ratings” in any way, that you are overloaded and consequently unsafe. Or if you believe the other side of the coin, folks who use these trucks in the exact same manner without issue year in, year out.
Like I said, do your research and you’ll realize the actual issue is in your current understanding of the capability of your truck, not the actual safe capability of your truck.
Caveat, you do have an older truck, so my statements are based on it being in good physical and mechanical condition.