It makes sense, but from what we've seen, Frost would have had to be at the Shattering (or very close) to be able to bond to the CS. However, if the Shattering also released a burst of Investiture, it's possible the CS could have used this to survive longer. However, I don't know that a CS can bond with a human (or dragon) without killing the host like the Fused do. It could be different with dragons, or it could be possible that the Fused are trying to kill them.