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Has this changed? I now see a member rank AND copper member on a user's profile.
Before you would only see one rank.
I was trying to find out the same this evening. The copper rank shows on the left on the post, but not on the user profile.
I remember it just as DdmrDdmr says above, and I still don't see the member rank on a Copper Member's profile (
example).
Update: I remember this, because it annoyed me that I can't scrape the Rank other than Copper from the profile, and I didn't want to download a random post too.