This is indeed inappropriate. You are too reckless. There are many unspoken rules in the music industry.

Because every teacher has his own set of teaching methods, if another teacher suddenly intervenes in teaching using other methods, your original teacher will be very unhappy.

The essayist Han Yu has such a sentence in "The Master's Statement". I wonder if you remember it. "He is similar to that year, and his ways are similar. If he is in a low position, he will be ashamed, and if he is in high official position, he will be flattered." If your music theory teacher is better than your piano teacher, then your piano teacher will be very embarrassed. If he doesn't teach piano as well as your teacher, think back to your teacher, "He doesn't teach as well as me and he dares to steal my students."

It seems that you are no longer a beginner. If you are a beginner, then if there are differences in the knowledge taught by two teachers, whose advice will you listen to?

Let me give you another popular example. For example, you are a critically ill patient who goes to the hospital to see a doctor. The whole life of the hospital has been reviewed for you and a prescription has been written. You take this prescription to another doctor and ask the other doctor to modify the prescription for you. Then once you take the medicine according to the modified prescription, you will die. So which doctor do you think should be held responsible for this medical malpractice?

I guess you have just entered the music industry. Based on your experience and experience, I can only explain it to you so far. In short, it is very bad to do so. Besides, learning the piano relies on diligent practice. Don’t expect much progress if you change your teacher.