The benefits are in the eyes of those that have worked in it.
In general, if affords an opportunity for more people to get weekends off. Some like it because they can experience the weekends, parts of the weekends but have a steady stream of regular days off for things that are difficult to schedule on weekend, such as doctors appointments. Others like it because of the variety of the changes that also allows them to experience the heavy OT days, at least the time of the week where OT is more likely. Some enjoy it because they can just pick the job they like knowing they will eventually also have the weekends off. Others get a feeling managers can't play with the days off to get rid of someone they don't like from their area, whether a CC or FSC, just because the days off were changed. It also helps to get holidays off by bidding a set of days off that will rotate to having the holidays off but not needing to work a Tues/Wed or a Wed/Thurs for an entire bid.
Overall, those that have the rotating day offs have had it since their first day on the job and it is something that you quickly get used to and don't really mind. When I went from rotating days off to steady days off, it actually took some time to get used to it, believe it or not.
It's an individual taste, but something most have gotten used to and apparently want to keep.