Pastures can be different than lawns where we like things pretty. Lawn grass is often short, tight and with shallow roots so not sure if you would be happy with the results using a heavy chain drag harrow but not having used ours for that, I can't be sure. It will tear up things especially some grass. Pastures, at least ours, is rough, hard in places, and with some rocks too so the chain harrow, with tines facing down and forward really do dig into the ground scratching things up. Results are not what I'd call pretty as some of each grass, weeds and rocks are churned up. I do this spring and fall when there is a good chance of rain coming as the drag creates some aeration to the soil; I then reseed using my Gator and seeder before it rains. I do have rocks to clean up afterwards getting the bigger ones is all. In your situation you may only have nice deep dirt with lawn grass rather than pasture grass so results might not look pretty right away but the drag will help reduce clumps of dirt and such plus will smooth the surface but will not flatten ground like a pool table so much. Setting the drag on it's least invasive position (what I did) will tell you lots about how it will do for your situation, then go from there if wanting more aggression. We ended up using the most aggressive setting for everything accept places having bigger rocks, I don't bother there...Drag harrows have their place and It's my opinion gravel areas, horse arena's and any place already pretty flat and needing grooming they work great but can also create some work after the fact if wanting things to look real pretty.
Not sure any of this helps you, all one can do is to try one, see if it works in your situation. good luck!
Ricn