I think we VH-obsessed fan guitar players think to much into it. My guess is Eddie's studio or wherever he records is overfilled with many different heads. Marshall's, peavey 5150, evh III, soldano and,etc. and he probably plays one one day and just like all of us, one day a particular combo just sounds good to him and he records it. Other times, he's more deliberate like on the latest album.
I also think there's a huge difference between tone chasing to replicate a studio recording vs. pure tone chasing. Pure tone chasing is about chasing something that speaks to you. It might be what you would call a brown sound; it might be something different altogether. I think the most frustrated tone chasers are the ones chasing mixed, studio recorded album tones! Next to impossible if you ask me. I admit to being a studio tone chaser but the older I get the more I rely on my ears to tell me if its good, it's good!
I've recently sold a bunch of pedals and now use three, maybe 4 pedals total when I play my 5150 combo or c30 (usually the c30): clinchfx ep+, digitech reverb and occasionally an mxr phase 90 and boss digital delay. And I've also learned you can't make a bad amp sound good but you can make a bad guitar sound good!