I can't find photos to back up these memories, but have vivid recollections of public museums that displayed small quilts overlapping on horizontal surfaces, so you could only see half. Once a museum did that with some of my pieces that were on sale as an adjunct to a show where my quilts were hung. I told them that if that was the best they could do, I would take the for-sale quilts home (they quickly came up with a better solution).
Even if a quilt is traditional and functional, I can't see why a venue that wants to put it on display wouldn't want to have the whole thing visible. That is, I break out in hives when I see a museum doing this:
But it's not just museums. I have been following the so-called Modern Quilting movement, a term that seems to encompass younger people with non-traditional design sensibilities. I know that most of these people are not trying to make art but rather want to make nice things for their homes. Nevertheless, I don't see how they're supposed to get much inspiration from pictures that show only part of a quilt, no matter how artfully it's arranged on a chair.