BASH or non-BASH, Klipsch works to get the best performance value for its customers. I know, I know, it sounds like a commercial, but that's essentially what happens in the development phase.
Until BASH came along, there was literally no way to do a 4 channel system with the kind of output it had to have to make smaller speakers rock like a Klipsch system. So, that turned out to be a very nice fit. BASH is more expensive than class AB, but solved the heat related problems that kept multichannel stuff from happening. Turns out BASH is probably the best way to do multichannel, because the output sections (being linear AB) don't need the filters that drive the costs of normal class-D combinations through the roof. So it was a good choice for the 4.1 and 5.1 systems.
The choice was not as clear on the 2.1 system. 200 Watts could be accommodated a little easier for heat related issues, as long as a class-D sub section was provided. This was the choice made.
I think it's possible to design good and bad amplifiers in any class. At one time, transistor matching was such a crap-shoot that class AB didn't have a chance. Now that the Power MOSFET game is a decade or two along, class AB can work very well; whether using a linear power supply (as in the 2.1,) or a switching power supply (as in the 4.1 and 5.1).
For the 4.1 to be used in a 2.1 configuration, I think you would find the benefits to be in the 2+ dB headroom at the high frequency, and more punch at the low frequency end.
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