It really is up to the hospital what they do with the quilts once they get them.
Was the baby a newborn? Is that the concern that the possibility of a sick/injured child not getting one because they've all been given to healthy babies? It could be size, many people don't make large quilts and the smaller ones could go to the babies. The hospital may be fortunate to receive many and have enough for every child no matter the reason they are hospitalized to have one.