Hello Rusty!
As you referred to me in the original post, I just figured I'd briefly explain what I mainly use the analyzer for. It's as simple as me not having a subwoofer or a reliable set of headphones for the bass. Neither my monitors nor my studio heaphones have any noteworthy bass-response under 70hz or so, which is where most of my bass is usually. I have a set of headphones that are of the "gamer-kind", which I've learned to use for bass. So, what I do when mixing usually, is that I use the analyzer to check the bass. I've learned through my time mixing my things just about how I want it to sound, or at least the general idea. It's in no way any substitute for the final mix and master (where I find enough systems to listen to, and reliably mix the bass), but it's an easy way for me to keep it in control while I'm doing the heavy work.
That's my use-case at least. :)