Yep, you are thinking of DOOM Attack, classic DOOM originally did not have free look, though I'd love to see that and a few other enhancements added to BOOM if possible, such as a bit more up to date BEX system as well as the ability to tell monsters not to fight with one another.
As for AB3D II.
I see that as pretty much a KILLER tech demo, with craptastic levels. So no, I won't be remaking it, but I am using it's resources for this project since the Red Alien's looked much better in part 2 than they did in part 1.
Also, my plan is to complete the original 16 levels from AB3D part 1, then to create new and original levels that take place after those. This is where all those unused Textures and enemies from AB3D II will come in.