Re: Does wood matter?
If you pick up a guitar and listen to it acoustically it's going to give you a pretty good idea of how it's going to sound amplified.  Some people like to argue that in an electric guitar you can't hear the acoustic properties of the instrument, but in my experience if it sounds like a Tele unplugged it'll sound like a Tele plugged in, if it sounds like a Strat unplugged it'll sound like a Strat plugged in, and if it sounds like a Les Paul unplugged, it'll sound like a Les Paul plugged in.  If it's bright unplugged it'll be bright plugged in, and if it's dull unplugged it'll be dull plugged in.
A Les Paul with a corian nut, Nashville bridge and pot metal tailpiece will sound like a Les Paul.  A Les Paul with a nylon nut, ABR-1 bridge and an aluminum tailpiece will sound like a Les Paul.  A Les Paul with '57 Classics will sound like a Les Paul.  A Les Paul with an Burstbuckers in it will sound like a Les Paul.  All of those Les Pauls will sound different, but putting a corian nut and Nashville bridge on any of those Les Pauls won't make them sound like an SG, nor will putting a nylon nut and ABR-1 bridge on any of them make them sound like a 335.  Due to the similarities these three models will have a characteristic sound most will identify as "Gibson", but an SG will sound like an SG, a Les Paul will sound like a Les Paul, and a 335 will sound like a 335... even if they all came stock with '57 Classics.
Conversely, a Les Paul with a mahogany cap sounds like a Les Paul Custom and not a Les Paul Standard.... and swapping bridges, nuts, pickups and tailpieces won't make a Standard sound like a Custom.
IMO... YMMV.