> If Facebook had auto-liked a post on your behalf would you be annoyed? If so why?

Yes, I would be annoyed because it's an action on my behalf that I did not do.

> If Facebook creates the appearance that this has happened are you annoyed? If not why not?

As someone who gets what they are doing, I realize it's just an appearance so it doesn't bother me. I'm a UI/UX designer for a living, so I see a lot of ways things that are done differently and/or badly. I see what they are trying to do, and while it's a poor job, I get it. And because I get it, it doesn't bother me.

> Suppose the latter was intentional. Does that affect your annoyance?

I don't think there is really a way to prove if it was intentional or not, but I get your overall point. I personally don't believe it was intentional, but that is just me.