Check to see what the axles are rated for and what the gvwr is of the Liberty.
The 32 BHDS has 5000lb rated (Jayco rating) axles (actually 5200lbs per Dexter) and a 997xlbs (think it is) gvwr....
Reason I mention this is we were conoaring another brand and model (same floor plan as our 32 BHDS) that had 2-4400lb axles (not sure what Dexter rated them for) with a 995xlb gvwr (was right around there). What they did was add the dry tw to the total axle rating for a higher gvwr!!! Yes, the tv does carry the tw, but I would rather have a little more "cushion" between the actual loaded weight to the gvwr or total axle ratings.
If you go with the 32 BHDS I would highly suggest going with at least 1400 or 1500lb rated wd bars (depending on the brand). And try to get a 2.5" shank for the wdh so you don't need to use the adapter sleeve. Our 32 has a loaded tw (fresh water tanks empty) of ~1400lbs. I do need to reweigh the rig as a few thing have changed slightly, but I imagine the loaded tw is still In the 1400lb area.
Not sure what the Liberty has for the "brochure" dry tw to be able to suggest which rated wd bars to go with. If similar to the Jayco, go with 1400/1500lb bars as well.
Good luck deciding!!!!