I can provide limited info. I've had the 12TV for several weeks but only used at home so far. I use with the MG350 amp. I don't have the BA12-3 nor have i tried one but i do have the BA110. The 12T-V is fuller and "rounder" sounding than the 110, not surprisingly. I think i would describe the 12TV as more of an "old-school" sound versus the more "modern" sound of the BA110. The 12TV tweeter is very sweet and adds a nice sheen to the sound, not at all harsh. The BA110 to my ears has more "bite" or "edge" than the 112TV and the two cabs sound distinctly different. In fact just today i was thinking that the 12TV vs BA110 is like comparing passive J and P basses (which in fact are what i play) - round full rich 12TV "P sound" and biting edgy growly "J sound". A simplification of course, and you should try to hear the cabs since obviously these are my impressions only.
Hope this helps a bit...
Edit: should have also mentioned that i really like the ergonomics of the 12TV - it provides excellent sound in a box that i can easily carry, unlike so many other [quality] 112 cabs.
Thanks for this feedback. I’ve got both the BA10 and the BA12 already, but I would like to use a 12 inch cab in a combo configuration, as I find myself using the 12 more often in one cabinet situations. Wish the BA12 came in a combo version.