Yes. And I think those are rather orthogonal concepts.
One can be permissive and cold. Permissive and warm. Authoritative and cold and authoritative and warm.
Authoritative and warm sounds odd, but it think I kind of describes my parents. Some issues like respecting elders, saying thank you, making sure to help friends in needs, sharing were non-negotiable, others like what major to choose, or how late early and when to do homework or what extra curricular activities to take or not take was up to me. Otherwise I never lacked loved, attention or time spent with any of my parents. One of them even quit a much better paying job just to make spend more time with me after school and in the evening.
One can be permissive and cold. Permissive and warm. Authoritative and cold and authoritative and warm.
Authoritative and warm sounds odd, but it think I kind of describes my parents. Some issues like respecting elders, saying thank you, making sure to help friends in needs, sharing were non-negotiable, others like what major to choose, or how late early and when to do homework or what extra curricular activities to take or not take was up to me. Otherwise I never lacked loved, attention or time spent with any of my parents. One of them even quit a much better paying job just to make spend more time with me after school and in the evening.