Well, there isn't really a need for a bot to auto-post tweet notes on Nostr because users can easily share their tweets on Nostr by using the import feature. All you have to do is copy the URL of the tweet you want to share, and paste it in the 'import' option while creating your note. It's as easy as that! Additionally, sharing tweets manually encourages users to actively participate and engage with each other in multiple platforms rather than depending on bots.

Preferably something opposite. Nostr-First engagement, twitter just a dead copy.