The material from which a guitar is made makes no difference. A telecaster, an acoustic guitar, and a guitar with enough metal frame to hold the string tension but is otherwise made entirely out of rubber will all sound exactly the same.
Wrong.
Saying the wood doesn’t impact the tone at all is bullshit perpetuated by people who wish that was true because if it were true it would mean things weren’t as complicated.
I say it probably matters less than people think it does, and to be honest it’s tough to say what matters more, the type of wood, or the individual cut of wood, or the shape / routing / volume of the guitar or some combo of all of it. But it still makes a difference. Things are further complicated by the inconsistency of wood types (how many of you have played 8 lb non-weight relieved LP’s and 12 lb non-weight relieved LP’s), but imo even if it only affects the way a guitar sounds acoustically, that still matters, unless you ONLY play guitar so loud that you cannot hear the guitar acoustically or feel its vibrations, which almost nobody always does.