Which Classe versions are we talking about? I would take the older CA-xxx (I had the ca-200 over 20 years ago) over the luxman of the same generation. I also owned many other Classe amps, preamps and cd players back then, the CAM and Onega series which I also think are better than luxman.
6 or 7 years ago, I owned the CT-M600 monoblocks which I would take over luxman.
The delta series, I would take the luxman.
There is a reason B&W bought Classe, you need a warmer amp like the Classe or McIntosh to tone down the cool sounding B&W’s.