In my case, SS or tube amps don't matter much in determining which source is better. Both clearly showed LPs are far better than CDs.
I've had BAT tube power/pre amps and now have Plinius SS power/pre amps. In both cases, LPs sound much better. The cartridge does not need to cost so much. $100+ cartridges like Grado Gold, Shure M97xe would be enough to reveal the difference. I've used those, and also Denon 103R, Audio Technica 150MLX, and low output Ortofon cartridges like MC20, SL15e, and SPUs. Of course, the preamp should be good. I am using a hand built Magi phonomenal tube preamp. A phono card on BAT preamp and phono section on Plinius M16P preamp were all enough to show the better sound than CDs.
On my mediocre amps and receivers, however, there is not much difference.
Same thing on my mediocre speakers. My Apogee Diva and Tyler Lynbrook reveal a big difference between LP and CD if paired with good amps and phono section, while there is virtually no difference on my $100~$200 speakers.
One more thing is, the difference is only for well recorded HiFi LPs. LPs with poor recording quality does not sound any better than CDs.
Sad thing is, even some new artists produce LPs these days, but most of them don't sound any better than their CDs or streaming sound.
I have a few albums with both CDs and LPs: among others a few of them on top of my had are LA4's Just Friends, Nora Jones' Come Away With Me, Bill Evans' Waltz for Derby, and Janos Starker's Bach cello suites. Even somebody remotely interested in audio quality can readily tell the difference of the sound in just a couple of seconds.