This topic of wood not making a difference in the way a guitar sounds is so absurd to me. Ash sounds different than alder... sounds different than mahogany. Now I will say that if you throw a shit ton of distortion on it the differences don't really matter as much, but saying that it's all just the pickup is silly.
The way I see it...if different woods and quality of woods did not matter, then every guitar would be equally as good as another, resonance, low end thump, bite, feel, dynamics. Instead they are all 100% different from one another, some are dogs, some are meh, some are pretty good and SOME are awesome and make the player take notice in almost every way.
Now these perceived differences by the guitar player must be attributed to something and that something is the WOOD and construction quality IMHO.
My view on this is dictated by physics. It’s not wood type vs wood type, more like particular piece vs particular piece. Because same wood can be different density throughout the trunk. And trunks are didferent depending where and how they grew.
The density of particular piece and it’s stuctural “construction” defines the level of the whole systems rigidity. Different levels of rigidity means different resonant peaks.
Now how audible it is is the question, especially under gain and effects.
Given that pickups also have resonant peaks, they might summarize or cancel with existing system’s resonant peaks. In this particular regard I have zero understanding and knowledge. Feel free to correct me.
I am itching to launch a wide and deep scientific research on this matter but I am too broke. Wish some millionaire guitar enthusiast funded that.