It seems to me that the guys from the Northeast, like me, will tell you that it can't be done. I guess it's possible that we are just stupid, or have inferior equipment, etc. But probably not.
More likely, we have different grasses, cultural conditions and tree species. By the way, what you call a foot thick in Texas, looks like a few inches in the picture. I know everything is big there, but you ain't seen a Northeast leaf fall, methinks...
Our turf grows very thick and lush because of the cool climate compared to down South. Maybe that explains why the mulched leaves sit on top of the turf and look like crap ?
And i agree with SDLandcsapesVt that I am not going to waste time driving around and around, making tracks in the wet, weak turf, just so I don't have to remove them. Faster to bag 'em and get the heck out of there.