No, they should not be allowed to teach anything at all. Even in conversation classers, questions on grammar and use of structure can come up that the fool of an uinqualified native speaker coule not answer. Keep the standards!

Turnoi mate, every time a simple bit of English grammar/simple structure comes up you can't keep interrupting the lesson for an hour or so while you google it. In any event you will get it all wrong, and then the students will be wrong. Your English is better than your Chinese. However your Chinese is virtually none existent. Get thee to the ablutions my friend.