The only way I've been able to get around the problem is by adding the items to my inventory via the console, and that's not really a solution.
That being said, I have no idea what causes the problem or how to fix it, but it's high time I figured it out, since I play with this mod all the time and have had quite enough of this issue. I don't think it's a problem with scripted items, as I've never encountered the bug with any other mod that uses them, and the problem (at least for me) doesn't seem to stem from the furniture ring or furniture book. So what could it be? Does anyone have any ideas?