No, Green is claiming now that the refs told him the first technical was on Kerr, so when he got the "second" technical, he knew all along he wasn't getting ejected.
If the ref "mistakenly" told the scorers it was on Green, they should say that. But they aren't. The ref is saying "I didn't verbalize to the table who the technical was on..." He's essentially saying "I called a technical, but I didn't tell the scoring table who it was on, and they just assumed it was on Green." On top of that, everyone in the stadium seems to have heard the PA announcer say it was on Green, except the refs, or if the refs heard that, they apparently ignored it and didn't think it was important enough to correct it at the time, or at halftime, or at any other time between the two technicals. Steve Kerr admitted after the game that he thought the first technical was on Draymond, and he thought Draymond was getting ejected after the second one. Based on his and Draymond's reactions after the second technical, there is no doubt in my mind that Draymond is lying when he says he knew the first was on Kerr. I still have it on DVR, and it's pretty clear to me that the technical should have been called on both of them in the first quarter, but even though Kerr ran out on onto the court, Draymond was literally losing his mind two steps away and calling it on either of them would have been warranted.
Below is a story breaking down what happened. Personally, I don't believe in conspiracies, and think it's far more likely that this is incompetence than something shady, but to me, the real problem with the NBA and it's officiating IS the incompetence. I feel like folks who are defending this is as not something underhanded are missing the point. It doesn't need to be a conspiracy to be unforgivable. Like I said, just when you think you've seen it all...It's becoming a farce, and it's too bad, because this really does have the chance to become one of the greatest eras in NBA history, IMO.
https://www.si.com/nba/2017/06/10/warriors-cavs-finals-draymond-green-steve-kerr-technical-foul-refs-referees-controversy