Corrin Refine Stack?

Corrin's Custom Refine gives the support ally +4 in all stats except HP, here is the question. If there are multiple Corrin's with refined Yato, does that +4 All Stats ability stack onto the ally who is supporting him?

Example: Corrin ally support with Zelgius. If there are 3 Corrin's all with refine, does Zelgius get +4,+4,+4,+2 (For regular ally support) in all his stats when the Corrin's surround him?