You're right that would be unnatural. You can't hide your Fi-DS . As @Adam Strange explained before, some types need this side of your personality. LIEs are good teachers to some types and if they want to teach others they have to adjust and understand that everyone has different needs. Same goes for any type.
I still persist on my view that some people just suck at teaching.
And I don't like the idea that there is a type in socionics that is a good mentor for everyone. I prefer relativity, ok?
Teachers kill my creativity more often than not.
Also they demotivate me and I demotivate them.
If the person is not kind and absolutely patient and flexible, chances are that I won't learn. Rigid schedules and long term commitments kill me. Also I suck at memorizing information that has no real use for my daily life. I succeed more at learning practical things through hands on or personal experience.
I think that being good or bad teacher depends more on having the correct motivation and enough knowledge than types, potentially every type is able to be a good teacher (talking objectively). The subjective criteria of the judger is what ends up putting labels.