I believe that is a base weight. If I remember right, my '06 Double Slide 9 1/2 base weight was similar. The tag weight (dry) without water, batteries, propane with full options and two slides is 3571. Rough guess for the new model is probably around 3900 with three slides (dry).
I believe the Host numbers are pretty accurate. I was able to carry my current camper on a '06 F350 Supercab 6.0 PSD 4x4 long bed. On a SRW, you need to really pay attention to what you bring with you and avoid a full water tank which would add 500 lbs. You should also consider 19.5s which I had to add some buffer to the rear tire capacity.
With my current truck, I've been as high as 14400 and still under my GVWR. My F450 does weigh a lot more as well. That's bringing everything that we could possibly bring with extra water, mostly full holding tanks, etc.