Take his name off the market? Hardly.
Has a veteran player ever stated, "Yeah, I want to get off this sinking ship"?
When a player has the ability to play for a contender, with the possibility of re-signing wherever they want after the playoffs, I would say that all media quotes are potential lies.
So Blakie, come to Ottawa. It'll be summer by the time the playoffs roll around - almost California-ish weather. You can help the Kings get a nice little scorer like Antoine Vermette, and get a shot at a Stanley Cup in a Canadian hockey hotbed - something he's yet to do in his long NHL career.
Don't think that the Kings' GM won't continue to present him with potential suitors.