I have pastures that I subdivide with an electric cross wire advanced every 5-7 days or so depending on the season, grass etc.
When I get to the end of the pasture and move the cattle to another, I drag it with a Wingfield harrow.
I don't want damage the new growth so I try to get in there quickly after moving the cattle. I find the drag spreads the manure patties and fertilizer value from them. Dragging is also supposed to keep some diseases down. You do not want to drag a pasture when there are cattle in it or coming to it soon.
The main benefit I see is that with dragging and a few WI rains afterwards the cattle don't have the 1 foot radius avoidance zones around old cow pies the next time in the pasture. This increases the growth by spreading the fertilizer and provides more useful grass by eliminating the patties that cows will not graze around.
You want to be careful not to be driving all around the pasture with a heavy tractor and drag when the ground is too wet to be out there or you will cause some compaction.
In intensive grazing I think you almost have to drag the pasture or the manure builds up too much.
Here is a link to some articles on the Wingfield harrow.
http://www.wingfields.com/harrowarticles.htm
I use the 10 ft 3 point mounted which is more controllable on my hills and can lift for transport down lanes etc. If I had larger flatter pastures connected for transport with wide gates I think I would go with a trailed version of the same 10 ft drag that could be pulled by a UTV. Handling is a problem with a larger trailed drag however.
I also drag areas after spreading dry fertilizer on top from a spinner cart so that there is at least some incorporation or covering of the fertilizer.
These are NOT tillage tools. you can put some weight on them such as tires but basically they are for light spreading and dethatching etc. They are great for cleaning up and leveling a gravel drive! jmho.