This isn't a simple yes or no question. First off, both companies use either Hitachi's ATS-34 or Crucible's 154-CM. While I've owned several chisel grinds, I don't care for the way they cut, and that's solely a personal preference.
Further, I collect Microtech's, that is, early version Microtechs. I like the SOCOM Tantos better than the SOCOM Elites; I like the titanium bolsters on the early LCC's, I'm not crazy about the aluminum version. They cut the same.
I've had four CQC-7B's and one Commander. All were perfect, good lock-up, no blemishes and the blades fit into the handles straight. I've heard anecdotal evidence that this is not always the case.
My guess is that they are really going for two different markets, or in this case, market share. The Emersons favor hard use, the Microtechs, while durable, seem to appeal to a more upscale crowd.
I carried both a black-ti CQC-7B and a SOCOM Tanto M/A as EDC's. Neither failed, both sharpened like a razor on the Edgepro and neither appeared to have excessive wear.
I'd handle both, pick your price, pick your favorite.
(I still have the Microtechs, I sold all of my Emersons.)