One thing not being taken into account here, and something any Cross Country runner can tell you -- you don't want dairy on your stomach before, during or immediately after a hard run. It coagulates in there, makes you feel terrible, and then comes forth violently.
While, scientifically, it might look like a good option . . . it's not a particularly good one for an athlete -- unless they do something silly like curling.
My favorite was always cranberry juice to cool off, then earl grey tea.