Actually, in this discussion, for the most part anyway, I have declared war on stats. My primary point is how Houck was in fact pitching to the top of the Phillies order for the third time right before he was pulled.
If I understand the arguments against Houck, he should have been pulled in the bottom of the 5th when leadoff hitter Bryson Stott came to bat for his third time. Instead, Cora left him in to get the third out. No big deal, just one guy--and Houck got Stott to pop up.
But when Houck went to the mound for the bottom of the sixth, he was defying everything everyone else has been saying on this thread. He was left in to pitch to the top (2d, 3d, 4th hitters) of the Phillies lineup for the the third time. And he got Trea Turner to K, gave up the single to Harper, and got Castellanos to ground out.
In other words, in my opinion Tanner Houck had already put to rest the "Houck can't get anyone out on his third time up" thesis. In fact, I thought he was throwing good stuff.
And guess who else thought that? Alex Cora, that's who.
But then came Kyle Schwarber, lefty vs. lefty. As I've already pointed out, he was more likely to hit a dinger off a lefty than a righty. But let me add that your "big swing" doesn't apply so much to this season--and we are in this season and not all of the seasons Schwarber has played. This season Schwarber's OPS vs. lefty pitchers is .622 and vs. righties is .753, which is not as big a swing as you claim (I think based on Schwarber lifetime).
In addition, and I can't emphasize this too much, Houck, was pitching great in the 6th. Bleier was not. And by that I don't mean that Bleier gave up the dinger, I mean that every reliever who comes into a game with a man on base is kind of an unknown quantity because he has yet to throw his first pitch.
So, no, I don't really care that much about the stats when I can see how well Houck was pitching in the sixth.