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Is this considered normal?

No. The professor is supposed to guide the student in an academic way not inspecting every tiny thing irrelevant to the student research. Some professors do have their own style and want their students to follow them. If their style is related to academia then no issue here. Sometimes their style is overlap between personal interests and academic interests in this case remember you are required to follow your supervisor style only as long as you are working in her lab.

If not, is this a good reason to change the adviser?

It depends whether you find her helpful through out your research. If she gives you enough time to meet with her and discuss your research in an active manner then I believe this is the most important thing and no need to change.