Hi chopinlover01,
My own thoughts on it are that being a student is a journey. Students can learn valuable things from many teachers, and then put it all together at the end.
Maybe a teacher's feel for Bach, Liszt and Chopin is quite pedantic and austere . . . it can be a good thing to experience that, just as if the teacher encourages romanticism . . . and maybe a teacher can't stand Bach, Chopin or Liszt . . . then the student can find a teacher who even specializes in one or more of those particular composers if this is thought to be needed.
I don't think any teacher knows everything, and that each just gives what he or she has.
You specified responses from teachers: I have had students here and there over the years, and, no . . . and I mention it now before I get attacked in this thread . . . they don't deviate from the score, double bass lines in octaves, asynchronize voices, et c., though their tempos can be quite flexible and with a larger than normal range of dynamics (but some like rigidity and more restricted dynamics, too). My approach is to discern and respond to the inner musical expressive needs of the student and bring this out, and with use of whatever repertoire is relevant . . . and not to impose any particular views on how the music should be played or be made to sound . . . though I do place a very intense emphasis on pure technique, on tone production, on methods of practicing and of memorization, and on knowing the music and not just the notes; all of my students have learned to compose and to improvise, at least to some extent.
There is hardly any music I don't like, and if a student wanted to study music I don't like, I would suggest that the student go to a different teacher and to one who appreciates that music.
Mvh,
Michael