I think for acoustics, wood definitely matters. For electrics? Not at all. There’s a plexiglass guitar out there that sounds amazing. Hell, the first LP was legit a log.
There MIGHT be differences between solid and semi hollow electrics, but not as much as people put stock into it.
I’m just a basement player, and an ok one at that, but I am really good at dialing in tone. Like you, I could probably get toan out of a wet shoebox.
Heck, those little pignose amps were used by greats and they are stupid simple circuits.