We're taking Laura Poitras at her word that she did not edit the interview. There's no way for us to know if this is what Snowden actually said.
There's probably enough trust between them now that he isn't going to get upset if a hash of his email doesn't match a hash of her quote of him. She's also likely smart enough to realize that he could drop her at any time and the other news organizations would be lined to up for exclusive access. So she's going to act responsibly towards her source.