i briefly took classical lessons not long after that. it was just an introduction - i just wanted a foundation, so i could pick a classical up and play it, and so i could create on it and transfer the knowledge back.
and, of course, i grew up listening to guitarists like billy corgan, lee ranaldo and kim thayil.
so, what you're hearing there is fundamentally classical guitar music, via a blues filter - and presented as alternative rock.