No, it has shades of truth and untruth. Absolutism isn't a great look on you.
You own the content, in the meaning of the sense that you can prevent the public at large from seeing it.
You don't own the content, in that you never have physical control over deletion, whether or not facebook employees see the data, or whether or not facebook licenses the use of your data for profitability purposes. All of those strongly detract from any strong concept of ownership.
I think you should elaborate on your definition of coercion here and what does and does not lie within its boundaries.