I don’t see why they wouldn’t but I also haven’t looked up the specs for the Emotiva amps or the B&W speakers. Perhaps @JohnRice has some thoughts. He is one of our experts in the realm of separates and power handling.
I fretted over that as well as the different levels of Audyssey before buying my current receiver (Denon S750H). In the end, my budget dictated what I could afford and after setting up the receiver and running Audyssey, everything sounds fine.