The flux for the sun on the sensor/film/whatever is:
Φ/4α² * 1/A²
Where Φ is the sun flux at the surface of the earth, and α is the angular diameter of the sun. A is the f-number of the lens, the only variable in this equation. It doesn't depend on focal length.The total power over the film is:
Φ/4πα * f²/A²
which does depend on focal length, but that is usually not the determinant factor, as for surface burns the damage depends mostly on the flux.Burned shutter cloths on Leica M series cameras with wide angle lenses is a real problem that can happen simply if you leave the camera without a lens cap lying on a table. This is less of a problem on most other cameras, as they use metal shutter curtains.
The creator of that video hangs around on /r/photography, his comment is here: https://www.reddit.com/r/photography/comments/6xg8a7/lens_re...