...every demo I've heard seems to be focused much more on the acoustic side, with almost an "oh, it sounds like an electric, too" almost as if making it sound like an electric is an afterthought.
Yeah, that's pretty spot-on. When Swerdfiger worked for Taylor and did the T5 the focus was an electric that had some acoustic tones. He went the other way with the Fender version; only two blade settings even activate the Tele bridge pickup and one of those is a blend with one of the acoustic dread tones.
I think a big part of the thinking is that in electric mode you're going to either use the Tele bridge tone as-is or color it with pedals so there wasn't a whole lot they needed to do to punch up that aspect of the guitar. For me, I play way more acoustic than electric stuff so the focus works for me quite well.
My ideal use case example is doing "Let It Be" and being able to play the solo on the same guitar.