What’s the role of a dad in marriage and parenting?
In case when a mom is a primary parent that is responsible for kids and a dad is the one making an income, the dad could be seen as the "fun" parent, one that shows up and does whatever he wants. This attitude from a dad can create friction in the family. The primary caregiver, a mom in this case, would have implemented a system that keeps the family running, and the dad should be aware of and respectful of the system.
Also, a dad should should show kids emotional depth, both as a parent, and as a male character.