It can in a manner of speaking. It depends on how you apply the definition, it can look back at its previous functions and see a record of the past then make decisions about the future based on that information. As for self improvement, what is AI but software constantly improving itself, so what if it requires our help to do so. Some people use gurus and life coaches after all.

I agree in this case it's a fair bit misleading. It also barely fits the description so it's really only a matter of semantics as I fully agree it's not doing these things in the way that it's response implies.