It has nothing to do with analog vs. digital, specific mics, multi miking or even the experience of the engineers. There really is no simple answer and therefore no simple fix.
Basically it has to do with differing aesthetics. How a classical or jazz recording is supposed to sound is very clearly defined. For jazz it should sound like "Kind of Blue", one of RVG's Blue Notes, or maybe like an ECM recording. Because jazz has such a well defined sound there are a whole list of things you don't do when recording/mixing a jazz album. For instance you wouldn't use a non-lin reverb on the drums. No compressor on the bass. No vocoder effects on the vocalist. Don't shift the sax from the left to right channel during his solo. There are just things that you won't think of doing on a jazz recording. There are no such rules or prohibitions in pop/rock recordings. Because of this the sound of pop/rock recordings is very variable. For some engineers it's a case of too much freedom and the sound quality can suffer.
Ultimately, talented musicians working with talented engineers are more likely to make good sounding good music than other combinations.
Basically it has to do with differing aesthetics. How a classical or jazz recording is supposed to sound is very clearly defined. For jazz it should sound like "Kind of Blue", one of RVG's Blue Notes, or maybe like an ECM recording. Because jazz has such a well defined sound there are a whole list of things you don't do when recording/mixing a jazz album. For instance you wouldn't use a non-lin reverb on the drums. No compressor on the bass. No vocoder effects on the vocalist. Don't shift the sax from the left to right channel during his solo. There are just things that you won't think of doing on a jazz recording. There are no such rules or prohibitions in pop/rock recordings. Because of this the sound of pop/rock recordings is very variable. For some engineers it's a case of too much freedom and the sound quality can suffer.
Ultimately, talented musicians working with talented engineers are more likely to make good sounding good music than other combinations.