More relevant, what happens if you lose access to your data? Or it becomes corrupted? Now, because you owned your data, it's only your responsibility. You know who's not going to put up with that? Anyone who can afford to hire someone else (like a doctor) to keep track of their chart for them so that stupid stuff doesn't happen.
Most people don't realize that many of the connected health record problems have already had high quality solutions provided in the form of VistA (https://www.wikiwand.com/en/VistA). It's interface would make a startup designer cry, but medical professionals find it highly effective. Especially the network effect of being able to hand charts off and coordinate care, which would be very difficult in a decentralized health record world.