So, do I have it straight - OJKD are all those people who train to move and execute techniques done by Lee, and look as MUCH LIKE HIM as possible while doing it, and JKDC people are like Vunak or Inosanto and are always looking for ways to push the philosophy in new directions?

That would be correct.

By the way, does anyone know the reason why Lee wanted to close down all of his schools to begin with?