Spaniards are white so of course a Spanish name doesn't mean someone can't be a straight up white supremacist. It's not his name that is at issue though. The dude is pretty dark skinned and is probably mestizo.

I haven't seen anything out of the Proud Boys that is white supremacist. Gavin is a liberal civnat. Fuentes could has been all over the map, working with Kanye as well as Laura Loomer.

The shooter strikes me as a genuine extremist in that he is merely anti-social and lashing out. He also praised Audrey Hale, a tranny and killer of white children. The media will latch onto his usage of Nazi iconography, but that doesn't indicate an ideological belief. It's likely just his way of being anti-social, by embracing the "bad guy" ideology.