Hmmmm. I don't understand the logic.
With the pitcher at bat, you can either pinch hit, bunt, or let the pitcher hit and hope he continues to pitch well (and thus give up the run). And then you have to pick which guy to pinch hit, should it be your best pinch hitter, or someone who is a decent fielder and thus can come in on a double switch, and is that worth the loss of the guy he replace's bat?
With the DH, he's pretty much always just going to swing away, because the DH is almost always a guy who can hit for power, if not for average. (Though sometimes both). You really never want him to bunt.
I guess if you think of it as the spot in the batting order, #9, as opposed to just pitcher vs DH, it makes more sense. But even then, the average #9 hitter is generally no worse than the average #8 hitter in the NL. And so while the #9 guy might be pinch hit for occasionally, so would the #8 guy.
I do think that not having the DH in the NL tends to lead to a certain homogeny in run scoring patterns. Because all teams will likely have a fairly similar hitter in the #9 spot most of the time - that is, pretty bad, and then raised to above average part of the time (like once per game). However, in the AL, the DH can range from the best hitter in the league, to mediocre.
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