If grubs are numerous enough for crows or moles or anything else to invade your lawn, the grubs themselves would have killed your lawn.

Ive seen it so many times on lawns "Oh no the moles are killing my yard, what do I do?" "Buy grub control" "I bought mole pesticide and traps instead because I don't care about grubs, what are these giant dead spots in my yard now?" "Grubs, because you killed the only thing suppressing the grubs."