I don’t think that means he had the same name as his father. Henry Ford II was the grandson of Henry Ford. It’s not the same as junior.
Antwon was a junior, not a II. His father was the senior.
Some people - even Obama - have the notion that Jr. has the same meaning as II. It doesn’t.
Years ago when multiple generations lived together a baby might be given the name of a grandfather or an uncle. The designation ‘II’ was put after the baby’s name to distinguish the baby from the older relative.
But he did have the same name as his father. That's what is so funny about people using the II designation.