I use tube rectifiers in my builds, partly to conform with the vintage circuits I’m trying to replicate, and partly because I prefer the sound. Even with ultra-fast diodes I can still hear a slight coarseness and reduction of fluidity and "air." OTOH there tends to be an improvement in the bass response, so it’s a bit of a trade-off. Another advantage of, say, a 5AR4, is the slow warm-up. With solid-state diodes you can, of course, add a delay circuit, but this adds more complications to the build.
That said, a lot of very nice vintage tube amps used diode rectification--the HK Citation II, the Eico HF-87, the Fisher 500C, among others--and very few tube-lovers will take issue with the sound of those pieces. And for anything above 30-40 watts per channel, solid-state rectification is probably a better way to go. And like any other audio design, you can voice the amp in many different ways to compliment the power supply design you choose.
For my purposes I stick with tube rectifiers because to my ears, and within the limits of the amplifiers I build, it’s just a nicer sound.