That would indicate disrespect or be a threat to their authority. The authoritarian parenting style has strengths and weaknesses. It is high on the balance of limits but low on the side of love and affection. It doesn't mean that the parent doesn't care for the child. It simply means that the strength of their parenting is based on rules and order.
Affection is a separate issue from discipline for the authoritarian parent.
For many nontraditional families, security has been a missing element in their lives, making this style of parenting very appealing. At least, at first. Later, this style of parenting will show its weaknesses. These weaknesses include not being attuned to the developmental and emotional needs of children, creating revengeful behaviors from children, and alienating children from parents when in times of trouble. For example, a child under a strict authoritarian parenting style may not feel understand or accepted by the parent.