The perception is that:
1) all Class D amps using the same modules sound identical
2) "just add a power supply" - because the modules don't require a regulated power supply, any power supply will do.
However, if you care to try it (the parts are 'cheap') the design of the power supply makes a lot of difference. A Class D module draws power totally different from Class A and Class AB power supplies. If the module is just one component among the components that you need to choose, then the equation changes.
How a Class D module sucks/sips at a power supply makes quite a big difference in the design of the power supply. I view the Class D module as nothing more than a component that regulates how current is sent to a loudspeaker (I guess I'm still primarily a loudspeaker designer). The amplifier design, then, becomes a little more complicated than choosing a module, building a power supply and putting it all in a nice, expensive box.
I designed a relatively unknown Class D power amp.