I have a feeling that, at the end of the day, the TVA - at least as it currently exists - will be the "bad guy." The bureaucracy and predetermination of everything, the lack of choice and free will/freedom, will be the issue. Which is interesting, because it's exactly how Loki said he planned to rule as King of Midgard, but maybe doesn't like it so much when he finds how small he was in the grand scheme. I think the Loki they're chasing could well be an older version of the Loki we're following, and he's just trying to tear the TVA down. That said, it's still super early for predictions, because we haven't even seen what they're going to have Loki doing.