Here's what I previously wrote about it:
The Nevr-Dull has a very coarse abrasive and removes more of the surface material. The industry term for this is "cutting", and Nevr-Dull is too abrasive to be suitable for museums. The conservation guides deprecate its use.
A finer-abrasive polish is Mother's Mag and Aluminum Polish, or the 3M equivalent which only costs more but does not, in my experience and I've tried all of these polishes, work. You can find my writeups elsehwere on AK. This, too, removes material, and it can polish out the fine brushing effects, which merely are very fine scratches, on aluminum.
An easy means to determine the size of a polish's abrasive particles: the brightness of the final finish. Finer particles give a brighter finish, as the scratches are smaller. Mother's Mag creates a mirror-bright finish whereas Nevr-Dull is a soft gloss.
No need exists to pay for wadding polishes, as this is merely an overpriced mix of abrasive, a soap (to complex the removed corrosion), and deodorized kerosene carrier to remove the residue.
The difficulty with removing corrosion on aluminum is that many times the finish is anodized, which is a fancy name for aluminum oxide which is colored with a dye and then has the pores sealed.