By EVERYBODY'S argument re: money (and PLEASE be a logical person when reading this, not the typical meathead sports fan), the Red Sox bought the Championship.
Simple as that.
If $ = wins, then any time Team A beats Team B, and Team A has a higher payroll, then Team A bought that win. This is by using other peopl's logic. The Red Sox had SUCH as higher payroll than any team besides the Yankees when they won it.