I usually run into anodized finish more on steel components such as spokes and kickstands and such. I hesitate to remove it because it acts as a sacrificial anode to prevent rust. Eventually anodizing will fail, that is its nature. Usually anodized steel spokes are the weak link in old bikes because of spokes corroding and failing. So if the bike is a keeper, I replace all the spokes either with new anodized spokes or stainless steel.