Harold Reynolds and Al Leiter made a point that, while I disagree with it, ought to be considered.
What Reynolds said was that there was a cascading effect on the rest of the staff from the shutdown decision. The Nats bullpen became exposed in the playoffs because the starters did not go deep. Once JZ and Jackson only went a few innings, then the Davey had to pinch hit and make the bullpen throw more innings. He said that JZ made up for it by getting an extra inning in Thursday to help lengthen the bullpen, but Jackson kind of fell on his butt. What he did not say is that Det might have been a useful bullpen asset that Davey could have trusted in a tight game, instead of Gorzo / Gonzo / Garcia and Mattheus, who he ended up avoiding in the last 2 home games.
I don't quite buy it, because even if the Strasburg innings could have been managed to be available in the NLDS, he was not going to bump any of Gio, JZ, and E-Jax from a playoff start. Det was not the weak link on the staff, so replacing the 6 he got you with 6 from Stras at most gives him 2 -3 innings of relief in a set up role.