From: Pittsburgh, PA
Likes are in context, so your work, seen in your portfolio, might have a different number of likes than that same work seen in a show. FB recognizes the url, not the image that's on that page.
Regarding whether they work or not isn't up to us. If FB's API is being flaky (which happens) likes can disappear, not just on our site, but theirs. But those likes typically reappear once the issue resolves itself.
In the context of shows, likes are used for Cloud votes.
Get out of the vacuum and express yourself!