Update to post #5: Worked like a charm, I got 48 pages. They're all bound and numbered through 48, not like an addition taped in from the start. First use in about three weeks.
Regarding Caloy's post #6: My old one came back with two holes in it, one toward the lower right and one toward the upper right, both pretty far in. To avoid a hole in a page, both corners would have to have been folded in about as far as they could possibly go without multiple folds. So, even if this does work (re which see hfly's post immediately above this one), it would have taken two folds. It's impossible to predict the hole-punching style of whichever person happens to process a particular passport. It may be impossible to fold a page to avoid all of them, at least without making the fold so obvious that it would be unfolded before the hole(s) is/are punched.