Polishing aint bad and wont remove flatness you just spent time on, the polish is like fine toothpaste, you would need rub it a 1year and renew polish 10000000x to remove enough metal, it just helps to buff out very small scratches caused by the sandpaper, you dont wear out your silver or brass items liek medals using silvo or brasso do you ? (im talking polish not the real abrasive metal remover).
Some claim circular motion aint ideal even I have mead a boob of it a trying that way but thats cause i did other wau 18years, I know we did it in 1 direction after we had swapped about direction (always longwards) to get flat, then only 1 way turning it around so your doing it from both ends in turn.
Lapping is one of the oldest finishes known to engineering and wasnt invented by some spotty geek 18year old pc wizz on some review site BTW.