I don't think they are encouraging you to use such correct but strange and uncommon English. In this thread, you are the only one to use it.
Not a teacher.
None of the native English speakers is encouraging me to use "own ...", I did see some native English speakers say they prefer to use "my ...".
None of the native English speakers gave a firm answer that "own ..." is wrong or I should not use "own ..." or discourage me to use it.
That is why I take it as it is ok to use "own ..."
goodstudent, you haven't got our point. It looks like you have a comprehension problem in English.
Let me tell you a story. I hope it can offer you a new perspective.
I used to help an American learn Chinese. He was smart and confident. He was trying to teach himself Chinese. He studied Chinese grammar and Chinese words. And he said to me "Wo yu fan." I couldn't figure out what he was trying to say no matter how hard I tried. Then he told me he wanted to say "I want rice" because he found the Chinese equivalent words in his dictionary and constructed his sentence according to Chinese grammar. Well, the problem is we native Chinese speakers would never use the word "yu" to say "I want rice" in Chinese although "yu" does mean "want" in Chinese! You see a "correct" sentence can mean nothing to a native speaker.
I am not trying to be smart and that is why I followed native English speakers advice. My understanding from all English native speakers is that it is ok to use "own ...", but "my ..." is more commonly used.
Your example is that you are a native Chinese, and when you are teaching Chinese, you will point out that native Chinese speakers would never use the word "yu" to say "I want rice" in Chinese although "yu" does mean "want" in Chinese.
In your example, when someone is learning Chinese, a native Chinese speaker can point out the mistakes better than non native Chinese speakers. That is what I think too. So I took advice from English native speakers when I am learning English.
In my example, I am looking at the native English answers to learn English, none of them told me it is wrong or never use "own ...", so I taking as it is ok to use it.