It's not a matter of "winning" or "not winning". The phrase "damage control" was coined for a reason - it's not about reversing the damage, it's about making sure that the damage gets handled properly.
So seen through that lens, the question is whether EY is doing a good or bad job of controlling the damage. I personally think that having a page on Less Wrong that explains (and defangs) the Basilisk, along with his reaction to it and why that reaction was wrong (and all done with no jargon or big words for when it gets linked from somewhere, and also all done without any sarcasm, frustration, hurt feelings, accusations, or defensiveness) would be the first best step. I can tell he's trying, but think that with the knowledge that the Basilisk is going to be talked about for years to come a standardized, tone-controlled, centralized, and readily accessible response is warranted.
I am defining winning as damage control. EY has been trying to control the damage, and in that pursuit, I'm starting to wonder if damage control, to the extent it could be considered successful by many people, is even possible.
He's a public figure + He made a mistake = People are going to try and get mileage out of this, no matter how he handles it. That's very predictable.
Further, it's very easy to come along after the fact and say, "he should have done this and all the bad press could have been avoided!"
A page on LW might work. Or it might be ...
Todays xkcd
I guess there'll be a fair bit of traffic coming from people looking it up?