I installed straplocks on my Jazz and I think I might have done it wrong.

I just unscrewed the old strap buttons and screwed in the new straplock buttons in the same holes without using the toothpick method or anything. Well, the screws went all the way in and the straplocks work fine, but the buttons spin! The screws that fasten the buttons to the body will still turn but won't go into the body any farther, so I can't really tighten the buttons down. They're still snug with the body; it's just a little bit of free spin that occurs if I try to twist it (and I can only imagine how much it spins when I've got a strap on there). It bothers me. Is this something that I should worry about or is it no big deal?