I Don't think there is a relation between them both are the kings of different markets. So they pumps and dumps in their own way
They have their own respective markets so I believe, they exist independently with each other. Besides, gold market has been here for centuries and it is one of the established markets globally. Gold doesn't need bitcoin to survive but on the other note, bitcoin needs gold. Because miners are using these equipments that require gold as integral component of the equipment.