Good thing we have a copper sink!
There are a couple of issues with copper. First not all coppers have antimicrobial properties. Pure copper is a soft metal and likely would not hold up well in a hospital setting as opposed to a residential kitchen. It also forms a patina which in addition to dents and scratches over time, may overtime reduce its effectiveness as to its antimicrobial properties. It also requires special cleaning and I do not believe you can use bleach or other similar cleaners used in a hospital setting. Additionally, it is one of the most expensive materials for countertops.
https://homereference.net/copper-countertops-pros-cons/