B B 15 instead of saying My "Vintage" truck is one if the best tow vehicles... "that Ford ever built" would have helped with the Dodge/Chevy flack. I have a 99 and a 02 PSD and see no reason to upgrade. I have a tuner for the 02 that I have never installed as with the manual tranny it has plenty of power. I used to put 20,000 lbs behind it but decided I was pushing my luck in the mountains so now I have a M2 Freightliner when I'm going to pull that heavy.
Since your 01 has rear airbags it probably did not come with the Camper Package. If it has a rear sway bar and two sets of springs... one multi leaf and one single helper spring like a F350 then it has the Camper Package.
I strengthen my receiver hitch by tying the bumper hitch to it as I do not use WD with my diesel PU as I can adjust the tongue weight by where I place the load on the trailer. While my stock F250 hitch is not rated 1300 lbs I pull 13,000+ all the time with this bumper pull.

What you cannot see is the large nut that is welded to the top of the receiver that the bolt threads into connecting the 500 lb rated bumper hitch to the receiver hitch.
For the weight police... I've been doing this for over 10 years and thanks for your concern in advance.:B Other than more HP, what is the difference in a 02 and a 13 GVWR? I parked my son's 2013 F350 next to my 02 and I could not measure any differences. OK, bigger rim diameter tire which are more expensive and do not ride as well.