If they send a new teacher to another PROVINCE for a medical, then it is very likely that Meten is processing what would be a not so legitimate visa for that worker. I would advise any new teacher at any school to read the stamp on their residence permit. If the stamp suggests that your visa is not registered for the province that you are working in, you are probably working illegally.

If a school is mostly relying upon China newbies rather than teachers with experience, that is indeed a very bad sign. Newbie teachers are easier to control and far more aware of rules and regulations. Not to mention that they are often willing to take a lower salary.