What, specifically, is odd about it? I think the stranger position is the one that allows people to inform policy that affects future generations when they themselves are intentionally not making themselves a part of that future. Put simply: why do you get a voice in what will affect my kids when you think the future is all for naught anyway?
Think of it like this: why do you think politicians always advertise the fact that they have a family when they're running for office (or hide the fact that they don't)? Because it, at a subconscious level, makes people feel comfortable. "This person's progeny have to live with these policies." It's a trust signal.
>One consequence...
I've stated twice now that intentionality matters. If you're referring to things like Monasteries, where people take vows of chastity (which would obviously preclude children), the idea of political participation is already complicated. I've known a Priest or two who don't believe Clergy should vote.
>Having just read...
I'm radically opposed to AWT for other not-unrelated reasons.