fair but I don’t think if the person their soul is from does the homie would die too, just because this devil fruit seems like it’s physically giving life to something rather than just reanimating them like moriahs fruit.
On one hand, Zeus' soul is the lifespan that is separated from BM, so theoretically what happens to her remaining soul shouldn't matter since he's separate to begin with. But it also seems like all her homies are still connected to her and can't disobey her, Kingbaum for example couldn't resist even BM's vivre card, but Zeus outright attacked her so who knows.
While on the other hand, some DF powers vanish if the DF user is put out of commission. Eg: Doflamingo, Sugar etc. While others like Hancock's ability stays even if she dies, let alone defeated.
I suppose this is purely based on what Oda desires as per plot, no consistency here