Nostracoin is a different crypto to BTC, so Nostracoin sats are not the same as BTC sats. Sat is generally used to refer to the smallest unit on any crypto coin - so you could have Litecoin sats, Dogecoin sats etc. They're all different.

The web wallet is self custodial, but you can send them to any other wallet, yes.

No AI or Cyborg working on this project yet, AFAIK.