Yes and no. You go with the same forward against the same goalie for several shots, my guess is that the odds are in favor of the goalie because he can react more to what he's seen from the penalty taker. Maybe I just have my head up my ass on this one, but there's going with the hot hand but there's also lacking enough variety to allow the goalie to settle in and start dominating. So I'm not so sure playing the same shootout taker every time sounds like such a good strategy.
Even Oshie said he was running out of new moves as the shootout went on.
