To me asking too many questions is useless. Do your research on the piano teacher from whom you are intersted in taking lesson. Call or send him an e-mail with short description of yourself.Make sure that you tell him as truthful as possible. However, if you really want to take lesson from him, you need to sugar coat a little bit, otherwise, he did not even want to audition you.
My assumption is that the student knows how to play piano already.Therefore, he wants to take lesson from a non average piano teacher.
The best way is just to take a lesson for a month or so to find out the way he teaches.There are many people who are not good in expressing themselves, but when comes to teaching they will be wonderful. On the otherhand, many people who talk big but cannot deliver...Just try the teacher if you do not like him, just quit. Why make this notion so complicated....
And you spend your money on something you may not want and may end up wasting your time as well. This would be wonderful if you have a limitless bank account but most people don't.
In addition, it is a two way interaction. You may want to take lesson from certain teacher, that teacher, however, may not be willing to teach you. Especially, if you are not good and ask to many questions. Just take lesson first, and then later you are the one who decide whether you want to continue or not.
Students also need to be realistic in choosing a teacher. If you are an intermediate students, you should be cautious to take a lesson from an extremely well known concert pianist.