It is entirely dependent on what each school that you apply to wants to see. One school I applied to only wanted 4000 or more hours of real health care experience that was paid and met a threshold for quality (they spelled it out specifically.... RN, LPN, Paramedic/EMT, medical laboratory scientist, respiratory therapy, army medic, etc). Another school I applied to could care less about anyone's professional background, and had no requirement, but lived to see volunteer stuff like what you had. In fact, because I had mostly professional hours in health care, I was at a disadvantage when they compared me to folks that only racked up a bunch of volunteer hours.
It all depends. Programs usually are good about communicating what they want to see. Occasionally, you have to read between the lines, but it's often upfront.