If something is shared publicly (i.e. willingly) with "the Internet" as you put it, we have a right to question it. If it's being shared on the Internet and I am a recipient, why can't I question if it's appropriate? I.e. If someone is sharing a picture on Facebook, they are explicitly soliciting feedback/approval. The give and take of this is that I, even as a passive recipient, can have an opinion.

If you're not interested in other peoples' opinions of your content, and that's entirely your right, then I would argue that you shouldn't share it in a public forum.