If I can clearly assert origin and personal ownership of my data, I can forbid further reselling of it.
EU legislation shows that we can actually have the right to demand that a company forgets about us. Asserting such rights become easier the more accurately we define what data is ours.
Can you? A site's TOS will say that by sharing your data, you grant them the right to display, reuse and redistribute it, the same as you do now. And that would take precedence because your host provided the data. They requested and you provided.
The only thing that would change that is actual legislation. But then the legislation is orthogonal to personal data storage. If you want legislation for that, pursue legislation for that. Personal data storage is completely separate, and the two shouldn't be confused with each other.
I mean, a TOS could be written that way. But they're generally not, because companies don't want to self-impose limits like that.
The TOS usually has something like "grant the platform a perpetual, worldwide, royalty-free, non-exclusive license to host, display, distribute, modify, and otherwise use that content in connection with the service".
See the word "perpetual"? That's standard.
It sounded to me like you were making a general statement about TOS's.