Some of that is true, some of that is hype.
Last week I asked a mid-sized healthcare company for my records from ten years ago.
I was told that they could not be transmitted digitally, only on CDROM. And that the price for duplication started at $500 and would go up from there.
I was also told that if my current doctor requested the records, it would all be free.
So yes, the records can be moved around digitally, but actually personally owning a copy of the records dos not seem "unfettered."