Don't records and info need to be available to other medical personnel? What if you have to go to your local hospital? Having all that info on your doctor's office lan won't help you at a potentially crucial time. Or am I missing something?

Unfortunately it can and it will. At this point in time, while the best option would be not to get recorded in the first place, I'd trust Google servers much more than anything a hospital deployed with help of random contractors.

How does that make any sense?

So when you go to another hospital, your records should be unavailable?

In the US, a lot of the time you can digitally access your records yourself