While I think that the idea of a closer is outdated and the fact that saving your ace reliever for the 9th inning costs you games, the defined "closer" isn't going away just yet
I don't think the idea of a closer is in and of itself outdated...but I do think the value that many teams, managers and fans still place on the role of closer is definitely outdated.
I agree with you completely about how to utilize your best reliever (Reed), but I still like having one guy in that defined closer role, and I want that guy to have the right skill set to succeed in that role. Kintzler is a great example that we're all familiar with of a guy with less-than-stellar stuff who slotted in well as closer.
Rodney has less-than-stellar stuff at this point in his career, but I don't want to just go off of stats and honesty haven't watched him pitch enough the past few years to know how well his skill set matches up with what I want in a closer.