Whilst I have no issues with the second part of the answer, I'm not really convinced by the first part. Methylenes can resonate anywhere from ~ 0-7 delta, depending on their exact environment, as indeed can the other protons so I don't think "characteristic chemical shift" can really be defined here. At a simple level, you're right, but I would not be that surprised to see the methylene in e.g. acetylacetone also undergoing exchange (perhaps a bit slower than the amine or similar) - do you appreciate why?