Romex is a brand name of NM Cable.
Nomex is DuPont's brand name for a material used for "fireproof" clothing.
Aside from all that, if the outer jacket is ripped, it is an indication of overzealous pulling techniques.
Truth is: on the rare occaision that this happens to me, I have been known to inspect for damage, and if satisfied, I'll simply tape up the jacket.
Not saying it is the right thing to do, as you already know what the right thing to do is.
