Indeed. Mastering to suit the medium varies and was not good in the early days. Still not in some cases, but it's not necessarily the medium itself. The stereo master, whether tape or digital usually gets reworked for EQ and compression to suit, but not always too well! In any case nearly every modern LP is digitized at point of cutting even if it's from tape as the engineer needs to 'look ahead' to change groove spacing on the disk to minimise bleed through with loud passages, I'm told.Early CD releases often sounded thin/harsh because some of them used the same "master tape" th
Early digital recording and mixing was a long-winded pain; I recall Yello (who do good recordings) saying "Never again" after doing their first digital recording of "You Gotta Say Yes To Another Excess" in 1983. That changed as the kit got better and people gained different skills.
I think different music suits different recording techniques - if it's an orchestra, it's probably best done with all in a big room at once. For electronic instrumental, probably best done one track at a time. For bands with guitars, drums etc, it depends what they are comfortable with. Look at videos of it being done, starting say, with the Beatles in the studio, and then at the YouTube professional recording engineers (not the bedroom bodgers). The process varies - not sure there's a right or wrong way.