I run 80 lbs. of pressure in my Class C rig's rear duals with the M/S2 tires. This keeps any sway from the tires being noticeable. My Class C is only 24 feet, so I've never had any rear end sway problems.
The M/S2 tires use a different sidewall material than that of the previous M/S tires. I don't know about the material being softer ... what I'm hoping for is that the new material stops the notorious premature sidewall cracking that the M/S tires were noted for.
I researched the Goodyear G947 tires at my last Class C tire change. They were very expensive and hard to find even back then in Class C motorhome sizes. They may be discontinued now ... at the very least you sure can't locate them easily at the Goodyear website. I believe that the G947 tire only has steel in the sidewalls - not in the tread area (just like with the XPS Rib tire). What I wanted was a tire that also had steel in the tread area for best off-highway puncture protection ... which I guess doesn't exist anymore. What ultimately sold me on the new Michelin M/S2 was their 70,000 mile warranty, their Green X rating, and the possibility that their sidewalls might not crack prematurely due to the new sidewall material.