There are numerous “..lys” that are annoying. It started with basically and spread - everyone seems to have their own now. I have one friend who uses essentially constantly. My boss says typically about twice in every sentence; if you took it away from him I don’t think he could talk. But the other day he slipped in historically. I agree, however, that actually beats them all. Call someone on the phone - “He’s actually at lunch; he’s actually in a meeting.” Ewww...
My daughter started using “essentially” when she was only about 20, but doesn’t use it so much anymore, ten years later.
I welcomed it because it sounded good in the contexts she used it in, and was proof she was developing a precise and thoughtful vocabulary. She NEVER says “like”.
And you’re right, “actually” is a word we hear more and more, mysteriously and needlessly slipped in not in place of any other word, but just as an inessential addition to a sentence, like the ones in your examples.