I really doubt that there is much out there by way of 'unmusical' equipment. There are things that go together better than others, but a lot of that is personal preference, and nit-picking.
You have good gear! Combinations of good gear should sound good (personal preferences aside) regardless of what combination you put together.
The issue more often than not is the room. There are lots of reasons for ignoring this issue, not the least of which is WAF, but there are reasonable compromises that can be made to make any room sound better. Slipknot just completed a room makeover (I wonder if he could get on one of those reality TV shows?) working with Rives Audio. He seems to be very happy with the results (I don't assume to speak for him) and the changes made are not radical or unsightly. I've never seen him though! He might be unsightly. That's why woman marry personalities while men marry looks. Which might be why women are happier as relationships mature. What does this have to do with the question?!?
I think Watt/Puppies are musical speakers, I think Wolcott amps are musical amps, but all of them are capable of sounding bad in a bad room. That is not the fault of the gear. That is the reason though, I think, why people make idiotic claims like 'I heard ____________ (insert any really good audio product here) at CES or my local dealer and they sounded like #$%^*&! There are any number of things that people do not like because it does not meet their set of priorities, but no company sets out to make gear that sounds like #@$%*&. They spend tons of money designing, researching, building, listening to, and finally manufacturing what they have determined is good enough to bear their name.
Good gear while never overcome the limitations of a bad room.
I still think the Wolcotts would sound good with your system. BWDIK.