I agree with the land plane (grading scraper). Rakes are good at clean up work, but not material moving work. I personally have all three, box blade, land plane, and rake. They are all good at what they do, but not at what they are not built for.
Another factor is the very small amount of time involved. 2000rpm = 1000 injection cycles/minute. Plus if it is doing multiply injections/ cycle ( pre, main, and post injections), then we are talking even smaller amounts of time and fuel quantities.
I started having surface cracks on my woods trailer tires 20 years age, and they are still going strong. A picture might be useful, to show the amount of cracking.