The "observer problem" is a very technical term in quantum theory. It is not a New Age touchie feelie catch-all term for asserting that science can't be objective.
That use of the term is a central theme in deconstructionism. Feminist science and the like.
Science cannot be objective because it’s a thing.
Scientists can’t be objective because they are subjective beings inside the system they are studying and have preconceived philosophical presuppositions about the universe around them.