Direct answer
Good parents are good leaders and good leaders are good parents: both roles require alternating between a firm hand (autocratic) and dialogue (democratic), developing without overprotecting, and having a genuine look of "I believe in you."
The same analogy
Being a parent is a leadership role. There are moments when you need to be autocratic ("you're getting in the bath now") and moments when you can be democratic, listening and building together. Knowing how to alternate is the key.
Develop without coddling
A good leader develops people without overprotecting them or shielding them from challenges. In parenting it's the same: the genuine look of "I believe in you, I'm betting on you" applies to both the child and the team member.
When limits organize
Humans need limits to self-regulate. Without routine and management, the child loses their center — like a team operating without care and attention, and when a firm hand is needed, it's not there. The limit, here, is care, not control.
Maturity that crosses roles
Experience feeds back on itself: becoming a mother early helped with career leadership, and leadership teaches how to parent. Each person — child or team member — will do it their own way, and the good leader/parent learns to distinguish what they disliked "because it's not my way" from what truly impacts the result.