Funny you said that, I've always done it that way, cut grass/weeds, one field has a lot of glacial till round rock, so I cut higher, but no different from crop stubble. It sure seems to help with trash coverage and the coulters slicing in an inch or so seems to help with root bound soil after its been cut with a rotary mower.
I am no expert on tillage practices, but certainly have been around it enough, + my own trials/tribulations with an old tractor, 1 worn out, coulter missing ferguson and my later 2 ford plows, once thing is for sure, if you can set the plow to do a good job of turning the sod or root bound soil completely over, in the fall, it appears that in the conditions here, erosion is no issue, unless you are on a steep hillside, drainage can be better, whats under seems to die off completely, and in the spring, you have a head start on weeds. I also find, that contrary to crop planting, a thicker more dense population of forage ie; whitetail institute or any like product, as well as say oats, does seem to help shade out the weeds. Optimum PH, and fertilizer to help the thicker population can work, weather also can change things just the same. No guarantee you wont have to spray for weeds, but I've gotten good results at times, one patch of clover came in nice, hardly any weeds.
Its really kind of an enjoyable hobby for me, going around to all the little patches I have cut out of young woods in old fields and the one field that has been planted in crops since before I was around.