Steve, first of all I'm really sorry this happened AGAIN to you and your family.
I don't think the pied is responsible though. If it was inflicting fatal injuries on the other bird, you'd definitely see it. They go after the face, beak and legs. It's possible that the pied was bullying the other birds away from the food, but I honestly think you would have noticed that too.
Was the replacement bird purchased from the same place as the original that died? If so, they're likely siblings since they looked so much alike. It could very well be a congenital defect from inbreeding. It always seemed (to me) that if there were such defects that they wouldn't pose a problem until a few weeks after the birds weaned, say around 10-12 weeks. We had a pair of keets that were siblings *accidentally* clutch on the cage floor at an early age. The babies hatched and grew up just fine until they were around 10 weeks old. We kept them because we didn't want to sell birds that were inbred, but they all dropped dead--one after the next--within a few weeks. I'm just saying it's a possibility, especially since you seemed to have ruled out any other likely causes.
Sorry once again. Don't let it totally spoil the idea of birds as pets for ya.