There's no real justification for anyone having that right. The device manufacturer/website owner/etc does the work of creating the data, yet you think it's yours?
That's BS. The real justification for anyone having that right is that 1) the data is about them and 2) they own the machine that collected/created the data.
> The device manufacturer/website owner/etc does the work of creating the data, yet you think it's yours?
They did the work of creating a device for sale. After the sale, their rights to the device end and the data should be owned by the new owner.
Here's an example: You go to the library (or a privately owned web cafe), and write your stories there. It doesn't matter that you don't own the device. It's still your data.
Once money exchanged hands, it's not their product, it's mine, as is _all_ of its output, including logs, etc.
Otherwise, I'd call it 'spyware'.