I earned (or at least should have and seem to partially have been awarded) the Enthusiast badge on WebMasters. (Profile)
I have read this post and more specifically, this answer but I don't think it is the same thing. From what I can tell, I haven't lost any of the silver badges. I checked the question I earned the Enlightened badge for, and it is still the accepted answer and has 17 votes.
I have cleared my cache, refreshed, logged in from a computer that had never accessed WebMasters from, and I see the same thing.
Edit: The situation is the same on Meta.WebMasters in that it shows I have 0 silver badges, but also shows I've earned Enthusiast.
UPDATE: This seems to be a larger issue. I went with the wait-and-see tactic with the cooking site. The enthusiast badge was awarded with my 30th consecutive day. Since then, I've seen 0 silver badges at the top when I login, but at the bottom of my profile, I see the Enthusiast badge. I'm now at 43 days consecutive. On the cooking meta, I don't see the Enthusiast badge in either spot, so not sure about there.