If it means not starting Hammel at all in the series, it most definitely increases your chances of winning. I think, especially if the Cubs win the next 2, you go for the ******* win on Tuesday at home instead playing it safe and risking a 5th game in St Louis. If you pitch Lester Game 4, you could start Arrieta Game 1 and Lester Game 2 of the NLDS on normal rest. If you start Lester on Game 5, you cant pitch him until Game 3 on the NLDS.
I already posted the stats for pitchers going on three days rest in this thread, its not good. The Cubs are better off going with Hamnels/Wood/Cahill which I'm sure they are going to do.