Ha ha, you assign homework. That would work. So you have more time in class.It might be. But some principles are tough to practice solo with the actual movement as-is. For my part, I'd rather students used kata a lot outside of class, and me not need to work with it much in-class - just enought to tune what they are doing and help them get the best benefit.
But also consider that when you practice punch-kick combinations, you're probably repeating certain ones over and over. That's pretty likely where kata started. Kata is just a pre-arranged sequence of actions. Some of them are stylized in some ways, but not all the movements are.