I yanked out some big shrubs in front of my mothers house. I needed to add dirt to bring the sod level up to the height of a short retaining wall. It was easier to leave the dirt on the sod rather than haul in and level more loose dirt.
I also wanted to assure that the sod would live. I mowed it before cutting. That was last week. Durn stuff needs mowing already.
Because it is a prototype I didn't slot the mounting holes to adjust the thickness, but you are right. I took more dirt than necessary.