I've always thought that was a bit of a strawman. In the case of my front door, I really wouldn't mind even if it were livestreamed for the whole world to watch. I agree that "I have nothing to hide" is generally a poor argument, but I think when it's more specific it can be a valid statement, e.g. "I have nothing to hide when it comes to things that go on outside my front door". I can't recall in my entire life a single event outside my front door that I would care about other people being able to watch. Can I imagine a scenario where I might want privacy at my front door? Sure. Maybe my friend becomes a fugitive and comes to me looking for help. Maybe I become a CIA informant and they come to secretly meet with me. But in the few situations I can think of where I would actually care about total privacy around my front door, I'd hope I would have the prescience to pop out the batteries in advance. I legitimately cannot think of a single case in which I might care that someone is watching my front entryway.
Of course, I don't feel the same way about other camera positions. But I think I'm a pretty security-conscious guy (my in-home security cameras are airgapped and streamed to a local server) and I have a Ring on my front door and have no qualms about it.