This is pretty much where I am. I do find the idea of filtering for height kind of nasty. A lot of women are a bit odd about it though I agree with the poster who said a lot of short men won't date a taller woman either.
OTOH, I agree that short men doesn't seem more likely to end up alone, I have known more than one short man who was quite the Lothario. I find with the ones who are confident, their height doesn't even seem to come up.
I suppose what I find odd at a deeper level, and maybe worrying with regard to old, is that where in a more natural situation a person may have some physical things you tend to prefer or dislike, perhaps preferring tall men for example, but those can very often be completely subverted or swept aside with a particular individual. Woman meets man, he's short, but they really get on and for some reason there is red hot chemistry between them, and that's that. Or sometimes, the chemistry comes later. Either way, there's a real connection.
But with an on line dating app, all those people are simply weeded out right from the beginning.
I do think that tends to make us shallower.