The answer to your question is Probably Not.
Zinc is just a Flash wrapper. So, if your Director programs are primarily swfs and you use Director for a few system hooks, then you could use Zinc instead. If you do not use swfs much, or if you use Director for anything more complicted than file IO (Buddy API stuff) then it would probably not suit your purpose.
In fact, I think that even in its current condition, Director is a better Flash wrapper than Zinc. I have used both, and there are very few reasons to use Zinc over Director - even less if you know Director already and don't want to learn a new program.