Only trouble I have with mud unrolling hay is the gate where I have to go in and out with the tractor. Once in the field I go to a new spot each day so the sod underneith will hold me up for one trip. If things get too bad I move them to a new pasture and do it all again. Because they don't spent days in one spot around a ring things don't get churned to knee deep mud.
Overall I put less tractor hours on last winter with daily feeding as compared to previous years where I fed in feeders every few days, then spent days in the spring scraping hay and manure up into a pile, then a few days loading and spreading it all.
Maybe it's just my cattle but when I fed in feeders I put out enough hay to spread them around, but for whatever reason they would all fight over the hay in one feeder until it was gone. Then go to the next and fight over it and so on. So when given free choice of multiple bales they would fight over hay, not to mention the stupid things trying to get in the feeders, or calves laying down next to the feeders and getting stepped on, etc.
At the end of the day I'm not one to tell anyone how they should do things on their farm. If your happy with rings then use them, happy unrolling do it, happy grinding hay do that. We each have different management objectives and goals, and different routes we take to get there.