Nearly all clinics and hospitals in my area are very clearly posted as "no gun." I would prefer if it was not that way, but it is. I came across one hospital in the area about 6 months ago that was not posted (don't know if it is still that way), but my doc doesn't practice there anyway.
.
Most people are constrained by insurance requirements, who their doc is & where they practice, etc. I cannot make my health care decisions based on whether I can carry on the premises or not, at least not where I live now. If I tried, health care would be extremely difficult and perhaps prohibitively expensive (outside insurance coverage). If I actually had a choice, then I would choose a health service that didn’t reflexively ban the presence of firearms.
.
There are plenty of times as a patient where it is absolutely inappropriate for you to carry in a firearm. Depending on what type of care you need, what type of procedures or tests will be done, your state of undress, how you will be moved from one location to another in the facility, etc., you may be totally unable to guarantee the security of your firearm. People lose consciousness all the time for all kinds of reasons at medical clinics. You want your firearm on you then? There are a lot of very good reasons that I can think of as to why a clinic or hospital would not want patients coming in with firearms.
.
Having said that, I would prefer that the docs & nurses & other employees had the option of either carrying or keeping a secured firearm close at hand where they work. I would also prefer if non-patients accompanying or visiting patients not be prohibited from bearing arms.