For me, the wood used is probably the one thing people argue over that is the most pointless. Confirmation bias is a real thing. You often hear what you expect to hear. The wood thing often fails the double blind test. There is so much subtle variation in a single wood species, let alone all of the other factors that play a part, like hardware, scale length, electronics and build quality. Not to mention amps and effects. Does wood make a difference? I think so, but wood is so variable. There are strats that sound warmer than les pauls, alder strats that sound warmer than mahogany ones, and all other sorts of things they defy the accepted logic. Listen to them with a blind fold and I highly doubt people would tell a difference on a consistent basis, if ever. I think they make a difference, but more about matching bodies to necks to make a better complete guitar. I think guitars are individual things and have to be judged that way. Are mahogany guitars generally warmer than others? Maybe, but they also tend to be a shorter scale length and have humbuckers, which also add to that perception. If someone believes so, that might be the most important thing. However, I won't say that it makes no difference, just not as much as we tend to think. Some people swear by one piece necks, others like laminated necks. Really, all of this means nothing. Agree or disagree, it really doesn't matter. Buy what you like regardless of your beliefs being true or not and be happy that not everybody thinks the same way so there are less people trying to get the guitars you love. The funny thing is that regardless of what they are made of, guitars remarkably sound like... guitars.
The funny thing to me is that neither side can definitively prove their point. So much is anecdotal. Just get what you like and be happy.