Transparent, hifi and sterile; along with warm, growl, grainy and grind are all real subjective terms. As I see it it's kind of like the difference between a visual representation of a nude body and pornography. I know it when you see it, or hear it in this case.
To my ear the SWR working man's 15 combo is sterile but not transparent. It imparts a sound all it's own. That sound is certainly impacted by the bass being run through it. A stock P is going to sound different than say an L2K, but there will be some similarities in tone that are attributable to the amp and cab.
My old Demeter 201 pre was transparent in that it added nothing of it's own to the sound and was hifi as it was crystal clear with lot's of detail.
The iamp 800 is transparent and hi-fi with less detail than the Demeter (I think) but only just so. A truly spectacluar amplifier Plus it has tone controls that actually work, something the Demeter sadly lacks and it doesn't weigh in at 50 lbs with everything else in the rack!.
My GK 1001 RB II can be set to be *pretty much* transparent but it is not as detailed as the iamp or the Demeter. You don't buy a GK for transparent though. You buy a GK for the same reason you buy SWR or Eden or Ampeg - you happen to like their color choice. In my case I really dig the GK punch and voicing...
The Alembic F2B is wonderfully colored and is also hifi. Not transparent. It has a sound of it's own and imparts that onto every instrument that if amplify's.
For me...
Transparent means that except for volume, nothing else is changed in the signal content. (The old hifi guys McIntosh, Harmon, Lansing Brothers, et al...) used to talk about 'a straight wire with gain.' Being the unobtainable ideal standard. If you amplify a Fender Squire through a transparent amp, all the flaws in the Fender are going to be on display... If you do the same with an Alembic all it's beauty will shine through... Having lived with transparent for a while, I decided that I for one can live without it in a live environment.
Hi Fi means that while color might be added, no detail is lost. In fact, detail might be enhanced but in a good way (as in the case of the F2B).
Warmth does not imply a smiley EQ! Warmth implies lot's of extra harmonic content being added into the signal. This is what happens when a tube is in the circuit and that tube is being driven to a point where it actually generates little bits of signal all it's own. Got's nothin' to do with EQ! and I'm quite sure that it is certainly possible to get a warm sounding solid state amp.
Sterile means that I don't perceive any punch. It's the punch that translates into 'lively' for me. It also probably means that I don't like what I hear... I don't think you'll see the next mega-amplifier oporation add claiming *New* *Improved* - Now with Sterility! ==> marketing guy
For me, my rig is an extension of my bass. In fact my bass is just the 'frequency generating tactile interface' to my tone making machine! So I play a rig rather than just the bass... Actually that doesn't quite work as it doesn't account for multiple pickups - but you get the idea I'm sure...