I regularly hunt the waters of NYC, been doing it intently as of late. Find all sorts of artifacts including intact crockery. New of a guy who would regularly go out looking for artifacts from the Hussar. He claimed to have found the wreck site - or at least the debris field left from the wreck, he says it's located off the shore of some land currently owned by an oil company. I saw pictures of things he pulled up from the site, can't say for sure if they're Hussar artifacts, but they're definetly old.
New York State did an underwater side sonar survey of the waters of NYC, they never released the details of their finds to the public, but I know that they located so many wrecks (I think it was something like 4,000 of them) that they didn't have the resources to investigate them all. They didn't want private citizens "looting" these wrecks so kept the information private (which makes no sense since they used taxpayer dollars for their reserch).
One thing's for certain, there is a fortune of sunken artifacts in the waters of NYC, simply looking for the Hussar will likely lead you to finding something complealty unrelated but still valuable and historic.
I have personally discovered things in these waters that are breathtaking, shipwrecks on top of shipwrecks, artifacts everywhere. Hussar is down there with all of them, but it's like looking for a needle in a stack of needles. You'll find artifacts, the question just is from what wreck it's from or even if it's from a wreck at all a d not just trash dumped overboard by someone.