Not likely. How exactly would that work, anyway? The class D is in the closet because it doesn't sound as good as the LM. Right? So how can removing even a part of the sound from the superior LM and giving it to the inferior D be an improvement?
A better trick to try is using the D to power some subs. That for sure will be better.
A better trick to try is using the D to power some subs. That for sure will be better.