Yes, simple lecturing jobs are fine, and they do exist, but as you said they are paid less. Because in truth this is the reality already, we just don't admit it

Yes, simple lecturing jobs are fine, and they do exist, but as you said they are paid less. Because in truth this is the reality already, we just don't admit it. The intention behind it is understandable though. Someone who has produced new knowledge tends to have a more flexible mind, they have felt that the walls of knowledge are soft and malleable and not some concrete slab. They work with the math even outside class, and have a real grasp on why things are defined in certain ways, having also defined new concepts and written new theorems and proofs and having faced dilemmas of how to construct it to be most elegant and compact and logical etc. Now, of course today the research and the teaching are often on quite distant topics. Like teaching some basic computer science stuff like basic data structures and algorithms while you actually research computer graphics or speech recognition.