I dunno about making the balls "more efficient" as the dents are not uniform in size, position or depth.

Heck, I wouldn't even call them
dents! In my experience, "tumbled" balls are/look no different then balls that have been rolling around in a bullet bag or box for a while. Actually, that is what got me tumbling my balls, although I don't use a tumbler; I do it because I dislike worrying about where the sprue cut is when I load. BTW, I always positioned mine UP.

I can say that I have never been able to tell any difference in accuracy between tumbled and untumbled bullets.