How permanent would such a thing be in the long run, though? I ask this as someone who will soon have to download their G+ data before the service is shut off in a couple of weeks. Not to mention the recent MySpace debacle where a lot of data was lost due to a system migration.
Also, the assumption of privacy is nice, but how private is it actually? For example, you'd have to break into my house and steal my photo album to see pictures of me as a baby.
Not trying to be contrary, I guess I just don't resonate with social media that much. A private personal archive of my data would be one that I control on my own devices. I treat posting to the cloud, in whatever form, as making it public despite whatever assurances they have about privacy, unless it's something like my taxes or banking information where there are strict laws involved.