Man, somehow I missed those discussions/reviews. I have never heard a DAC sound like an LP. Great LPs played back over really good LP rigs and phono stages take on a sound quality close to the tape the LPs came from. DSD shares some of those qualities that you hear from the analog cousins twice removed. And thus the statement "sounds analog-like."
Well as having done a comparison of CD, LP and pre-recorded reel to reel, LP was always the very odd man out. CD, and RTR surprised me in generally being much alike. LP surprising for how different it was. I didn't have the master tape for comparison of course, but I would not have a hard time being convinced the RTR and CD were closer to it than LP. I don't think you are likely to get any LP rig to more or less match the master tape. They get too processed getting the signal on the LP.. The master tape signal isn't there to be retrieved on an LP.