As far as I know, THHN, THWN, TFFN, MTW, AWM and so on are all _different_ standards. Meeting one standard does not imply meeting another standard.
While I don't think anyone sells THHN wire that isn't also THWN-2, and so as a practical matter 'all' THHN wire is THWN-2, I don't believe that THHN wire _must_ also be THWN, so somewhere you may be able to get THHN that doesn't also have a wet rating.
-Jon
THHN and THWN used to be distinctly different. You had to pick based on whether or not it was a wet location and in wet locations you might have to suffer with 60 C temperature rise ratings. It has been improved over the years so that what you see now is usually triple rated THHN-2/THWN-2/RHW. And it often has MTW thrown in for good measure, and they are 90 C rise across the board. THHN and THWN are UL 83.
MTW is generally different from THHN. It has a higher strand count (fine strand) which makes it more flexible and more vibration resistant. It also pulls easier. It only requires a PVC jacket (no nylon). That’s not to say that it can’t have a nylon over jacket and be dual rated with THHN. The really upgraded version is TEW which uses tinned conductors. Both are UL 1063.
DLO is I think NEMA. It is often dual rated RHW.
AWM means appliance wiring media. Not necessarily “appliances”. AWM is sort of a pass through. It means that the wire is application specific and a Listed component. UL approves the assembly. For instance electric motor lead wire is AWM.