I don't disagree with that. And if one could tear in to some of the details of the methodology, maybe there'd be some additional ammunition there for the pro-DH types that doesn't show up in just seeing the results. Maybe.
What's compelling here, though, is that PPP is not some fly-by-night... they've been one of the staples of political research for decades, and they occasionally branch out and do some other things. They're widely regarded as knowing what they're doing, and so much so, that companies, foundations and other organizations pay them big money to do what they do and answer questions they want answered.
And what might be more compelling is that this is longitudinal in nature.... so, it's not like a one time thing that might be a one-off.
Rather, we have a 2015 poll that showed a large preference for the DH-less game.
And truly, no joshing, I thought to myself, "Just wait until they do that question again... it'll come back toward 50%, and maybe in a big way."
Didn't anticipate that they'd turn around and ask again one year later, and so I only discovered it a few months ago... but more didn't anticipate how wrong I'd be, and that, to the contrary, the 2016 polling would show an increase, not a decrease, for favoring pitchers batting.