@ZipLine-- Yes, they can overlap because satire is a type of comedy and when satire deals with an element like death, it's also a dark comedy or a black comedy.
I think my favorite dark satire is Beetlejuice. I was fairly young when I first saw this film, but I have seen it many times over the years. It has to be one of the most unique and funny dark satires out there. The topic is death, but there is nothing scary about it. And it ends up giving a message about being a family.