Again, I make no claims to have sat down and empirically dissected how these all fit together. All I can claim is that I've heard a whole lot of basses with just one or two variables changing (I would venture to say that there are few if any that have my situation to work with!

). I have a pretty uncluttered palate, and have worked with many different combinations of woods in bodies (tops and backs), necks, and fingerboards. Before I came to work here, I had an even larger and more varied sampling to work with (Bass Central's entire inventory!), and I can tell you that I noticed the differences then as well.
Could I hear it in a recording? Define the recording! How was it recorded? What am I listening to it through? How were the preamp controls (if an active bass) set? How did the engineer on the session mix and EQ the recording? Is it just the bass or in context with a band? If with a band, what type of instrumentation is it working with, and what kind of music is it? How did the player PLAY the bass?
With all these variables, maybe I could, maybe I couldn't. The "could you hear the difference in a recording" is as much of a white herring (or MORE) than being able to hear the difference between woods!!!!
Here's the bottom line of what I said:
I listen to dozens and dozens of basses with almost identical specifications, changing just one component of the "wood recipe", and YES, I can tell you there is a marked and defineable difference with changes in wood choices. Some woods are more noticeable than others. Why is beyond my ability to quantify, as I am just a dumb bassist that got so stupidly lucky to have the day gig I've got that I'm still pinching myself every morning when I wake up to remind myself I'm NOT dreaming.
My comments apply only to the basses we make HERE in this shop, so I don't know (nor do I really give a rat's @$$) why a solid mahogany bodied Ibanez is too bright for someone - maybe the electronics overpower the wood? That is quite possible! Did it sound too bright before you plugged it in? Maybe it's just really bright mahogany? Is it African mahogany? Is it Honduran? Is it Philippine? (Ours are Honduran, FYI)