It can help. Then you plant wheat on it and the weeds grow back. I can't see my copy to give you the title, but one of the seminal books on soil health agreed that it was not possible at this time to go fully no till organically. You have to plough eventually to deal with weeds.
Roller crimpers used at the right time can sometimes be effective at killing a cover crop and using it as a mulch to prevent weeds.