“Oh, we’ll store your unfinished thoughts, privately typed into a text box, on the off-chance that you want to continue writing it on another device. And no, we won’t ask you nor give you any semblance of true privacy.”

Sounds good.

"Privately typed" is a bit of a stretch, frankly speaking. That text box literally exists to send your texts to a remote entity.

It is also super common on e-commerce websites that will then send you an email about a cart you started to the point of adding an email but then abandoned.

When you SUBMIT a form, yes, then I agree.