You might have noted that I have refrained from giving an opinion on how good or bad I think that the GDPR is. I just pointed out that it does not at all apply

You might have noted that I have refrained from giving an opinion on how good or bad I think that the GDPR is. I just pointed out that it does not at all apply to the case that the GP pretended to have a problem with. By all means, there's enough to criticize about the GDPR, but do it with an argument that has merits, but not by attacking a strawman. (Your hypothetical case is a strawman, too, since the hospital doesn’t do business in the EU and is most likely required to keep records by law, which is a specific exemption clause)