I found this:
https://www.ar15.com/forums/ar-15/Surefire-660-6P-Secret-Tailcap-Mod/20-752340/
I think this depends on what the body tube/ "collar" is here. This does look short, like it is missing an A12 extender or something. Most 660s were I believe supposed to be used with the tape-switch compatible XM tailcaps. I have seen 660 style lights lego-d to take standard "c" tailcaps, but most of them use XM/ tape switch compatible tailcaps.
AFAIK, the fully built in tape switches like the ones that are nitrolon are standard C threaded, because they will make any Nitrolon light into a tape-switch light.
Sorry I couldn't be more useful here, but I've done a lot of digging on SF's WML lights particularly legacy editions recently, this is all I can think to type for you here....