If you hang on the pole as shown in the following clip, you will be able to develop a strong "head lock" and strong "leg twist". Assume you have only 2 hours of your training time daily. Do you want to spend your training time on both sides or on just one side only?
If I only had two hours to train I wouldn't be faffing around on a pole, I'm a martial artist not a pole dancer. A pole dancer trains on a pole to make them good at what they do. Martial artists train martial arts to make them good at what they do.
If by 'headlock' you mean something like a RNC, not strength is involved in putting on of them on. I have no idea what a 'leg twist' is but if I want strong kicks...I train kicks, repeatedly, off both legs in front and back techniques.