Rav Yaakov Kamenetsky was also makpid to give only single names. All of his children and almost all of his grandchildren and great grandchildren born in his lifetime have single names. The only exceptions (that I’m aware of) is some decendants of his son Rav Binyomin who married into a Chassidishe Rebbishe family, and there were mesorahs on that side that had to be accomodated.
It is also known that when certain questions came up about wedding traditions in his family, Rav Yaakov was known to say on occasion, “My family’s tradition is whatever the mechuten wants.”