I agree with Penny. The point is to reduce stress on the fibers. If you really would love to touch the quilts, why not volunteer to be a quilt turner & don the white gloves yourself?
But beyond that, the quilt probably would get grubby. I've seen news articles in places like Time about how dirty the money in our pocketbooks is -- covered in grime, germs & residue from illicit drugs. So icky! Same thing with those airplane blankets. Ew! My skin is crawling just thinking about those things.