I suspect the stiff front swaybar helps the manufacturer maintain understeer behavior for a wide envelope of truck/trailer loadings. Typically when you increase compliance for an axle you reduce the tendency for that axle to break loose in evasive maneuvering. To restate, I don't think the swaybar is necessary to guarantee stability, but HD pickups have to be qualified under such a wide range of loading conditions that it is necessary to make compromises at the OEM level. My truck has an EW of 8000 pounds, GVWR of 12,400 pounds, and GCWR of ~25,000...and the truck needed to understeer at all extremes.
The radius arm front setup (aside from the PW with the extra bushings/links for compliance) have a good bit of roll stiffness in them anyway. I'm happy with the Thuren swaybar but I can see how full removal would be reasonable (and free).
You can only have so much rear anti-sway behavior on a pickup before unloaded it becomes a one wheel wonder. If the rear always has load (slide in camper, giant toolbox, etc) then yes.
I once had a S-10 pickup, 4cyl, manual, 2wd, ECSB, ZR-whatever sport suspension, camper shell. It had rear antisway. Unloaded, I couldn't get out of my own driveway. For years I went to state inspections and had to explain to the tech why one rear end link was removed.