Is a hospital sign an example of a regulatory sign?

Service.
A hospital sign is an example of a "services" sign. It does not inform you of any traffic laws, so it is not a "regulatory" sign.
No, a "hospital" sign is an example of a "service" sign. It does not inform you of any traffic laws, so it is not "regulatory".
guide
Guide
a hospital sign either has a capital h r it plainly just says hospital

Added: It is known as an ADVISORY sign. It consists of an upright rectangle with the letter "H" in blue (usually with a directional arrow) on a white or silver-reflective background.