In my experience as a parent of preteens, having observed this for over a decade:
authoritarian parenting = ‘your feelings, needs and desires are not at all important. My feelings are very important and it’s fine for me to express them by shouting or lashing out at you.’
permissive parenting = ‘i can’t be bothered to help you manage your feelings, needs and desires, so do whatever you want. I don’t know or care about your feelings or how the way you express them affects others.’
gentle parenting as is often practiced = ‘your feelings, needs and desires are more important than anything else, and my feelings, needs and desires as your parent are unimportant. It’s more important for you to express your feelings than for those around you to feel happy and comfortable.’
gentle/good parenting as it should be = ‘i’m the grown up so I’m in charge of keeping you safe and making sure you grow up to be happy and able to function in the world. Both of our feelings, needs and desires are important and we can talk about them. Sometimes we have to compromise on what we want, and we have to respect peoples’ boundaries and limits - just like people have to respect your boundaries. It’s ok to have big feelings but it’s not ok to let them affect other people by being aggressive or mean.’
I was parented in the latter way, and that’s how I’ve parented. To me it’s just common sense and a continuation of how I interact with anyone else - respect, boundaries, communication and clear rules/hierarchies when needed.