Another former sailor here (last boat was a Catalina 36).
I find anchoring in my R-31CB substantially less pleasant than anchoring in my C36. My spouse had a marina bias in the C36, and while she hasn't anchored out with me in the R-31 I will say the experience was worse enough that I'm not sure I want to try it with her. The tug rolls more, it yaws more, it pitches more. It spins more at anchor. The forward island berth sleeps head-to-bow vs. head-to-stern (like a v-berth), which means your head is a few feet farther from the CLR and so IMHO you feel it a tiny bit more more (it's sleeps more like a stern berth, but a forward island berth is common now in modern sailboats too).
Another thing that I think is under-appreciated is that when you're in the salon, you're fairly high above the water and also have lots of visibility. This can create motion sickness at anchor much more than in a typical sailboat, where you are mostly below the waterline when in the salon (of course, on the other hand motion sickness in a sailboat cabin while under way is much worse than on a powerboat). I have since read a fair bit in the sailing press about this issue in deck salon boats, and compare that to the same effect in power boats, so I suppose I should have been ready for it (it's a typical power boat thing) but having little to no experience on larger power boats I was very surprised.
One sort of neutral thing is that I find anchoring is always noisy, regardless of the boat. The R-31 has a bit more water noise against the hull, but it doesn't have the whistling and slapping rigging of my sailboat (even with the command bridge). So net-net it's about the same.
In summation, while I was an enthusiastic about anchoring on my C36 I try to avoid anchoring as much as possible or only stay in quiet, calm anchorages. I'd be much more comfortable in heavy weather on my sailboat than on the Ranger Tug.
But, YMMV.