OD&D attack matrix

Looking at the attack matrix for men on page 19 of Men & Magic, I'm wondering what happens at high levels. The column header "16 & +" seems to indicate that fighting-men never get better than that (e.g.—hitting AC 2 on a roll of 5 or better). Given that fighting men progress in attack ability every three levels and top-out at level 16, what about the other classes? Clerics advance in attack ability every four levels, and magic-users every five levels. Will a magic-user eventually (at level 26) be able to hit AC 2 with a roll of 5 (i.e.—catching-up with the combat abilities of fighting-men, but ten levels later)? Or, does improvement of their combat ability end at level 16, hitting AC 2 with a roll of 10? It looks to me like combat ability for all classes stops improving at level 16; to hit AC 2 fighting men top-out at a roll of 5, while both clerics and magic-users top-out at a roll of 10 to hit AC 2. Do you agree? Or could Men & Magic mean that magic users and clerics are eventually able to hit AC 2 with a roll of 5? EDIT: I initially missed the bit that says "...and at 13th level the Patriarch would get 8 + 2 and fight as a Superhero - the next change in Fighting Capacity coming at 17th level." So... it seems that attacks will continue to get better beyond level 16, yes?