Gender has nothing to do with it. He has no chance of passing on his mitochondrial DNA, whether or not he has children. On the other hand, should he choose not

Gender has nothing to do with it. He has no chance of passing on his mitochondrial DNA, whether or not he has children. On the other hand, should he choose not to have children, he will represent a change of behavior that has lasted as long as the Y chromosome has- he is the end of the line. The same would be true if by chance he only passed on his X chromosome, but at least then the attempt was made, and he could keep trying as long as he had willing partner(s).