Personally, I would much rather work for a man. Mostly, they are more tolerable to work for and far less catty. At least in my experience.
She was a control freak and a closet man hater.
Female bosses I've worked for are pretty much as you described and complete scatter-brains in the work place.
Except for one. She was the best boss ever. I worked with the company for three years before she retired after almost 30 years there. I loved working and had tons of respect for her. She was an intelligent, funny and classy lady. Someone whom I truly admired.
The vast majority of female supers I have had are like yours but there have been two or three that were great.