I agree. But y'know, it's odd that the three people most affected by the prophecy had their major life outcomes determined by Dumbledore's machinations. That's a coincidence that needs explaining, I think.

Another implication just hit me: it could make Sirius his accomplice, not Voldemort's. Odd that he didn't get a trial while Dumbledore was Chief Warlock of the Wizengamot, come to think of it. Huh.