For example, if they made half the kids do better, and half the kids do worse, does that count as working? While you sometimes get claims that it's for their own good that less academically inclined pupils are sent to the non-grammar schools, I'd guess the same people who say this would freak right the hell out if their own kid failed the exam and didn't get in, which kind of undermines that argument.
I take your point about the wider ramifications, but I feel as though I got a good education, and if I ever have kids, I would want them to go to a grammar school too.
Source: Personal experience. I went a grammar school in the UK. I also taught in a top UK grammar school and a not-very-good comprehensive school. I've seen it happen numerous times.
I definitely believe that they work, it's a shame they don't have them in England.