It is good to know that the threads are left handed. Good possibility I would have damaged the part by trying to unthread it in right handed fashion. However, since the threads are left handed, I think an argument can be made that as the tail blades spin, the tendency is for the threads to tighten. If that is the case, it seems highly unlikely that the brass slider would separate even without Loctite.
I'll work on it some more, but it is reassuring to learn that the threads are left handed. Very nice!