I wouldn't describe most of Claude's predictions as better, they seem to skew towards wildly over optimistic futurism/science-fantasy:

  "SpaceX announces Mars City Alpha is now self-sustaining (spacex.com)" 

  Show HN: I built an IDE for direct neural programming (thoughtexchange.io)

  First successful telemetry from Starship HLS-9 on the Sea of Tranquility (spacex.com)

OK, they're more realistic then. It seems to have made an actual attempt to be accurate, whereas Gemini chose satire and was surprisingly good at it.