Yes, still downvoting. As Elo says, that's one way to find him, though there are others (e.g., some of his aliases have been identified very quickly, probably on style alone).

As for what he's doing, I think he's fighting a culture war. He doesn't really care if he keeps getting banned; he is still able to keep posting what he does, and upvoting it with his sockpuppets[1], and mass-downvoting people who conspicuously disagree with him in the hope of reducing their credibility (and maybe making them go away).

[1] That's a plausible conjecture rather than (so far as I'm aware) something known to be true. Conditional on its being true, I would guess that his socks probably also upvote other people's expressions of sociopolitical views compatible with his own.