The use of cellulose wadding is excellent for absorbing various liquids and wiping things up and help keep things clean, it's not only used for padding boxes and the like but also used for the purpose of hygiene and something you can often see used within hospitals. The importance of a good hygiene is obvious, especially within clinics which is where you'd most often see the kinds of cellulose wadding for wiping being used. It's not used for wounds however but rather for messes on surfaces that don't necessarily need to be sterilized, so it essentially is a cheaper, effective option for anything that's not absolutely needed to be rid of germs, viruses and so forth. Money will always be a factor after all, so it's understandable that not everything that a hospital gets is sterilized when sterilization isn't always needed, rather than spending extra on something that's not needed.
What's used within clinics
Outside of cellulose wadding, hospitals a myriad of other items for help with keeping a good hygiene, but often they need to hold up a high standard depending on what they're being used for. Bibs, wash cloths, laminates and aprons are all commonly used within clinics, to help make sure that not just dirt but germs don't spread and affect the health of patients within. But it's not just for the safety of patients but the doctors and nurses involved, helping ensure that spread of diseases is kept to a minimum. These kinds of thing are usually purchased from manufacturers that specialize in making products specifically for hospitals.