It's not that, it's more how Joseph has Caesar's Bandana as a Memento...
I don't really know if the Belt Dirtypawz is wearing, carries the same Significance.
Frankly though, Diamond is Unbreakable is actually a little more light hearted by comparison to the rest of the series... Considering How Bloody Stardust Crusaders was.
Still, I have another question...
Does she have the 'luck' with planes as Joseph? You know, can't get on one without getting it to crash?