One thing is clear: The switched mode takes up much less space than the linear (and weighs much less).
While I can't say I've built any PSUs, I seem to remember that the switched mode generate lots of high-frequencies when operating (that's how they work), whereas the linear works around the frequency of the input AC (in this case 50Hz).
This means that the input power may a) contain stray harmonics and beat-frequencies (interference-caused), and b) contain high-frequency noise; both of which can find their way into the (analogue) audio circuitry if used.
IF, on the other hand, you are using an outboard, and preferably optically connected (galvanicaly isolated) D/A, there should be little or no impact from using a switched mode PSU instead of linear.
And that, is where my knowledge on this topic ends...