I see your point, and though this is only speculation on my part, I strongly believe that though Gorton is the GM, and was during this past playoff and deadline, I also believe that this was Sather's last time pulling the strings. This was largely Sather's team that went to (in sequential order) an ECF, an ECSF, a SCF, and then another ECF. I truly believe that Sather was the one pulling the strings to give this team one more shot.
This offseason, it's Gorton's team, as Sather seems to be less and less involved in operations with the team. Coupled with Dolan's MO this offseason for getting younger and replenishing the youth in the system and on the team, I think this offseason, following by this coming deadline next February will be an actual example of what Gorton wants to do with this team.
Unfortunately, though I think AV can and will find a way to work through some of his issues, he won't work through all of them, and I fear we will start to lose players that are worth something due to his coaching tactics.
On the other hand, AV should also know that this could be his last shot as NYR coach. Though he'd be hired rather quickly if he was fired, the other side of it is that NYR as a team isn't a collection of dreadful players--this team has a lot of upside when put together with the proper complimentary pieces.
I think Gorton and Co. can get the required parts, as well as AV to coach in a manner that is acceptable.