I think if a deal makes sense financially they would be wise to spend regardless of the ownership situation. Would they rather have an ownership debacle and make the playoffs, or have an ownership debacle and not make the playoffs? They have a good enough team, in a bad enough division, that one or two key moves could make or break a profit. I don't think they will spend Manny-money again, but neither Cliff Lee or Josh Beckett will represent that kind of "dumb" (my quotes) spending.
As for the Sox, I think that letting Beckett go would put this team roughly where they were last offseason, which isn't ideal. I think that adding one offensive piece to the current team virtually makes them favorites moving forward. This team without Beckett (but with Lackey) is basically the same as last year's team without Jason Bay. They will be a good team but in need of something substantial.
I'm excited to see where they end up spending, but I think 2010-2011 are enormously important seasons for this club moving forward personnel wise. Beckett should be a part of that club--he's good, he's young enough and he's a proven winner/leader. What more could they want?