I found this kind of bizarre. I mean, I suppose if you really need to "visualize" the mix this 3D type layout is a good way of going about it..? I guess I do think about sound in terms of the space you are creating and where you choose to put things in it, but I have never tried to visualize it in such a literal way, it's more of a feeling than an actual picture. For me, your tools are: Tones(frequency), volume, panning, transients, and spacial effects (verbs/delays etc.) I use them to move items around within that space. Your basic confines are somewhere around 60db of dynamic range (volume), 20hz-20khz freq, 100% L & R, verbs and spacial effects can help put items further back and/or add depth to a mix but that's about it.
About 15 years back I was a moderate rhythm guitarist, almost NO lead experience, good bass player, Ok singer, half assed drummer. I was playing bass in a cover doing 90's covers (current rock at the time). We lost one of the 2 guitarists and somebody knew another good bass player, so I agreed to slide back over to the guitar so we could bring in this bass player to solve the problem & keep going. We did. Then the other guitarist hands me a list of a bunch of the songs we played and I asked what is this? He said "that's the songs you play lead on", to which I replied "dude, I don't play lead" he said " well ya do now cause we play fifty some odd songs, 40 or so have leads, and those are the ones Joe (the old guitarist) played and I am not learning them! You wanted the guitar spot.... you got it." I was seriously intimidated, these guys were all older and more experienced than I was. This was talent wise the best band I had been in at the time I could hang as a bassist but I was outclassed as a guitarist in this group and I thought.... I just got myself kicked out.. Awesome move.
I decided to try to learn the leads, they were intricate leads! Metallica, Candlebox, Alice in chains, etc... and I started to figure out that while yeah... I took me some time to find the spots & learn them by ear... once I did, and practiced to get them up to speed & fast enough, I could do it! These guys might be "guitar gods" but they, like me, only have 6 strings & ten fingers. That's their limitations and I can do ANYTHING they can do just the same!! I was stoked.. Totally blown away. I had been petrified of leads up until that point but realizing that even the great ones have limits that allow me to catch up made it attainable.
(now that I rambled on for 2 paragraphs to make this point)...
It may take me time but: every mix, every sound we (humans) can perceive is within those limits. So that monster kick that you figured you can't get with your gear... or the bass tone off of that record you really love... is not SOOO far out of reach. You just have to create a close sounding source tone and then find the combination of these parameters that gets it there in your mix. Taking the lesson I learned about lead guitar and applying it to audio helped remove my intimidation and opened the door for me. I just have to find the tone and place in the mix. But, it IS there.