The advantages of the shooting plane are it's weight, the skewed blade, and the additional length. I've tried shooting with a low angle bench plane, a regular bench plane, and block plane, and none of them is as effective as the shooting plane. I've never tried the miter plane.
I have the LV track, but I'm not totally sold on it. It is easy to set up, but the low friction plastic runner seems to want to not stick well, and to get damaged by the plane. The next shooting board I make will be wood, using some very hard, durable wood for the parts that the plane runs on and against - maybe even brass on the edges. I do like having a shooting board that encloses the plane, and the LV track does that nicely. If I make my own, that will be a feature.