You're correct in the abstract that such an agreement would need Senate review, but as noted in the piece and as we described in a letter to the Senate signed by Amnesty International, FSF, Free Press, and a bunch of others, the USTR is currently seeking "fast track authority" to bypass that process.
Read the editorial: the NY Times is endorsing an agreement that the public can't read. If they wanted it to be conditional, they could have written it that way. But instead, they acknowledged concerns and then dismissed them without a good explanation. And the public can't explain it themselves because we can't read the text.