you seem to be obsessed with people being correct, and using correct terminology, none of which has anything to do with being a good teacher.
A person may have all the correct qualifications, Possess a degree, be very knowledgeable, may understand that in other temperaments other than equal.. b sharp is different from c ... but still be a useless teacher.
playing and teaching music is not just about correct terminology , if it was we could programme a robot to teach it