Student progress is the real proof of teaching ability
A teacher's own performance skill and a teacher's ability to teach are different things, and a prospective parent or adult student is evaluating the second one. A student progress clip, or a "here's where a student started and where they are after a few months," demonstrates teaching ability directly in a way the instructor's own playing cannot.
Short instructional clips demonstrate expertise and attract students simultaneously
A short clip explaining one technique, or addressing one common beginner mistake, works as useful content on its own while demonstrating teaching ability to anyone considering lessons. That dual purpose makes it one of the more efficient formats available to an individual teacher.
Recitals and student performances are naturally shareable moments
A recital or student showcase produces emotional, shareable moments, a student's first real performance among them, that require no separate content production. You are only capturing what is already happening, with the same consent considerations that apply to any content involving minors.