Off the top of my head, the "TACTICAL" are the early versions of the TSW series. The "<caliber number> TACTICAL" were the later\new production version that included the rail and contrasting colored controls.
IIRC, both (aka TSW) versions are different than the standard 3913. I used to have the threads saved, that illustrated the differences, but can't find them.
Just from memory, I know the TSW versions have beefier frame rails and some type of different timing to help control recoil.
I had all this info at hand when I bought my 3913TSW 2 years ago because I also wanted to learn the differences.
Someone more knowledgeable will chime in or search on "3913TSW", "3913 Tactical", etc.
Here's one thread I found. It's referring to the .45ACP TSW, but the TSW family of guns share the same characteristics, IIRC.
Advantages of TSW over Standard