>I can put empty frames into my hive and the bees will draw out mostly drone comb, but if I give a starter strip of worker cell they will draw out more worker cells than drone?
No. Either way they will draw whatever they feel they need at the time. If the brood nest is full of worker comb and you put an empty in during the time of year they would like to raise drones, then they will draw it as drone comb. If there is enough drone comb in the brood nest, they will draw it as worker comb.
The purpose of a starter strip is to act as a guide to get them to draw comb in the frame instead of every which way.http://www.bushfarms.com/beesfoundationless.htm