Actually, if you do a search for all logos with JW in there, there are a few. I think it's funny they rejected it based on the similarity to JW PLAYER, when it looks nothing like it. JW PLAYER does like a whole like JW LIBRARY, which they are also trying to copyright, though.
It said in the paperwork, that the reason they rejected it based on similarities is because they are just looking at the JW part of it. The papers said what comes after it is not important because most consumers will look at the JW part first and associate the logo with the wrong company.