Just tried linear with this set-up.
Caiman+Muratas+gator
Large, costly, made with my blood, sweat, and tears, speakers.
CD player and a movie.

Tonight changed the 15V SMPS for a linear supply (at 16V as Stan suggested). Swapping between supplies takes seconds so comparisons were easy.

First CD; No difference on the two tracks tried, but then I never liked this CD.

Second CD; Changing between supplies was surprising for me. Going back to the SMPS was immediately unpleasant in comparison. I thought my DIY speakers were the problem, but everything is realistic (or "smooth") now. For example, the strings were getting lost under the layers of performers, but now each layer is present and easy to follow. I had to brace myself on some dynamic parts before, but now the sound is so realistic, i.e. free of distortion, that I can relax fully. This was most obvious in an action movie I use for testing.

Other CDs; Same positive experience.

More detail, more realism, more pleasant. I'm happy, and surprised at the difference to be honest.