Tim:
As others have said, the Red Dot shaft is not an LD shaft. Rather, it's a plain solid maple shaft, that has been measured and test hit at the factory to find out that orientation of the shaft where left spin and right spin deflected equally (or as close to equal as possible). Then, a red dot was painted on the top to let you know that orientation of the shaft -- red dot on top -- would give you the orientation of the shaft where the left and right deflection were exactly (or as close to exactly) equal.
In other words, the Red Dot shaft -- if you orient it red dot on top -- is a "radially-consistent" shaft -- probably the first radially-consistent product of its kind.
Later, the Black Dot shaft came out, which was Meucci's [then] answer to LD technology. This is where the Red Dot and the Black Dot differ -- the Red Dot, as you know, is a plain solid maple shaft that was merely tested and marked; the Black Dot is a full-blown laminated shaft. The Black Dot uses horizontal laminations vs. the usual radial pie-cut laminations as in e.g. Predator. However, another difference between the Red Dot and Black Dot is that, unlike the Red Dot shaft, the orientation of the dot on the Black Dot shaft doesn't matter. Some Meucci haters refer to the Black Dot as a "plywood" shaft, because its construction resembles plywood -- with flat layers glued one on top of each other. But I'll be honest, the last time I played with a Black Dot, I actually liked it, and that's saying a lot, because I'm not a fan of LD shafts.
I have a Meucci model 97-11 that I bought dirt-cheap at pool hall because it had a significant warp or bend in the handle/grip area. I shipped it off to Ryan Theewen (cue repair artisan of Muellers), and what he did with it is nothing short of head-spinning. He cut the handle/grip area out of the cue, hollowed-out the forearm, and reconstructed the cue onto a new properly-cured solid one-piece maple core. Rewrapped and refinished it, and the cue is better than new. I have a standard solid maple shaft on it -- nothing special. The hit is amazing, and It's one of my favorites.
Hope this is helpful,
-Sean