Be a little cautious about this. Lots of language courses, especially for Asian languages, are taught by native speakers of that language. Native speakers are often not very good language teachers (because the language is easy and intuitive for them). Also, conversational level courses are often advanced courses for people who’ve already studied the language. There’s also some risk that lots of the class will be sort of native speakers (people who immigrated as children, or grew up speaking both languages) either trying to improve their grammar or get easy As, which makes the course tougher than otherwise.
Excuse me, refrigerator? You’re describing terrible teachers, not native speaking teachers. Just because a language comes easy for a teacher doesn’t mean they haven’t/can’t/usually don’t put in the linguistic and grammatical research to back up their lessons. I think you may find that sort of unsympathetic native-speaking teacher more often simply because native-speakers are more available to teach the language.
It’s hard to reach that starting with teachers who can’t clearly explain grammar, or the basics of pronunciation, or word meaning.
I believe the recommendation was for a university course, not a Craigslist lesson. A lot of schools are going to require evidence of your teaching skill and knowledge of the grammar before they let you set foot in a classroom. Demonstration lessons and ‘pop quizzes’ during the initial interview are not unknown. (TAs conscripted into teaching, exempted)