I'm sure there's some logical reason (removability, flexibility, whatever) that the Quest's floor bins utilize fabric hinges which snap the doors to the floor. But it should be obvious from this photo why they annoy me. Yes, the hinges are fully fastened in this photo.
Here you can see the snap straps which act as "hinges" on the bin doors. Besides the fact that the doors don't remain aligned when closed, they awkwardly bind the hinge strap when fully open. You can see the how tightly the straps are pulled in the above image. There's no obvious way to stop the door in the vertical position in this case as gravity makes it fall toward the front of the van. Mazda has a similar design in the previous generation 3 and 5, both of which offer a slot where the bin door can be located while open.
Nissan's design could be better.
If it were more like Mazda's:
Josh Jacquot, Senior editor

noburgers says:
10:00 AM, 01/27/12
details, details, details. It will probably be fixed in the next year's model. maybe. the sound of that thing bouncing around would irritate me, i'd probably just remove them
billt9 says:
10:38 PM, 01/27/12
Per 2-47,
CARGO FLOOR BOX
To open the cargo floor box lid, pull the strap A .
To hold lid open, secure the strap B to the
hook on the under side of cargo floor box lid
The lid's open position is supposed to be bound to the 3rd row seatback.
so the open position of the lid when the 3rd row is up is vertical,
and when the 3rd row is down is flat forward.
It could be done better, but Nissan did devise this method of keeping the lid open.
billt9 says:
10:47 PM, 01/27/12
If you operate the lid as designed, it shouldn't bounce around, so I don't think they will change this until the next generation.