Check with the Director of the NICU. She will be able to give specifics of their needs. Some nurses will use the quilts as an alternative sheet for the babies once they are out of the isolette. Many NICU units use position ears to help babies stay propped --- think of a tiny rolled blanket in a casing. The commercial ones have a washable filling. The nurses would probably love it if you made burp cloths for the babies. Many hospitals use washcloths which are so rough on the baby's chin and face.
The hospital may also have a grower/feeder unit where babies stay after they have graduated from NICU before going home.
Another potential unit is for the babies needing additional attention, perhaps receiving antibiotics or substance addiction. The substance addiction babies may be in the unit for months.
Last, but not least, consider speaking with the case manager or social worker for the post partumn unit. Especially with current economic crisis world wide, parents may not be prepared for the new baby and may be in need of blankets.
The hospitals are very conscious of the current guidelines which say no quilts, comforters, pillows, stuffed animals, bumper pads or blankets in the sleeping baby's crib. There is an increased chance of SIDS associated with these. It is easier for the hospital to avoid giving out blankets than to deal with a lawsuit when a baby is harmed and the parent claims no one instructed them to not put these things in the bed.
It is a sad world.