Right - it's fulfillment by amazon, multichannel fulfillment. Regarding the child article, I'm printing with a century-old company based in Michigan. I'll be flying out to see the first ones come off the line. Doesn't guarantee quality but it helps to keep an eye on it.
i guess with a game it doesn't have to be all or nothing when it comes to returns - i bought a game with missing cards once and the company had a woman who's job was dealing with this scenario - basically asked me what was missing and sent those cards out, plus a few more which may have screwed the game slightly but much easier & cheaper than returning to a store or mailing to amazon etc, i guess you've thought about this already :)
the only other caution i'd give anyone contemplating this regards quality control - you can't always count on the manufacturer to make sure everything is ok before they ship to amazon for instance, i'd recommend supervising the manufacturing process if you can, i met a photographer who had a large run of art books printed in the far east, he basically slept in the factory during the print run, every 2-4 hours they would wake him and he'd check the printing - it was a few days or a few weeks for the whole job 24/7
or i guess have an agreement with the printer that they will reprint and ship any defective items at their own cost.