A mixing board isn't made for listening pleasure but for accuracy so it helps engineers mix/master (read: add effects the way they want so it sounds different/colored/
better from straight up live listening, something which a musician rarely knows anything about). Unfortunately for the musicians, it's pretty rare to find a truly neutral sound in the studio as well, however much engineers would like to sell that, not to mention that decent mastering/mixing made by engineers who really know how to work a recording are not very common, as exemplified by the many poor recordings you can find out there. Thank god they don't have tubes in the mixer, honestly.
While something may sound good (enough anyway) to the musician in the studio after the engineer is done throwing VST effects on ProTools at a recording, it's a different story when they hear it on their nephew's 50 bucks stereo, and that's not even speaking for pre-1980 recordings, the vast majority of which have a high noise floor and poor recording techniques (most often none at all in fact). All this to say that 'the way the musician wants you to hear it' is far from being exact, considering that a great deal of studio engineers don't do a very good job in the first place and the musicians more often than not settle on what doesn't sound terrible as opposed to what sounds perfect, so I'm quite happy to have tools like tube amps to help the music sound better and bring me more enjoyment,
especially as a musician myself who has seen and heard how engineers can wreck a good song.
As far as home listening goes, it's another story. It's the same reason why in the studio you'd rather go for nearfield monitors rather than hi-fi speakers, whereas at home you'd usually prefer the extra depth a nice pair of speakers can bring you, regardless of however much it "colors" the sound. If I wanted clinical listening at home I'd own a home studio