Does the maternal gran always have the advantage?

I have 3 daughter and 6 grandchildren. We are close and I have been involved with all of the children. They range from 25 to 3 so nicely spaced out. The oldest boy is soon to be a father and I realise I have no experience of being on the paternal side of the baby. How do others manage that role? I have never had to ask if I could pick up a crying baby or gently correct bad behaviour. I expect this time it will be more of a challenge to not overstep!