The USDA has been doing a multi year soil improvement study on the farm where I work. They’ve used rye and crimson clover as cover crop and rotate corn and soybeans each year. They roll it down and no till directly into it. I haven’t seen any of the soil data, but you can visually see the improvement in crop Health stand and yields
Try to see what the earthworm counts, I know some no-till farmers and their earthworm counts are off the chart.