I don't agree with the chart. Maybe, it would be better to say that the chart is "dated" and limited by the analysis equipment available at the time it was drafted.

Fundamental attack of a hit on many snare drums, and smaller toms goes out beyond 14khz with harmonics out beyond 20khz. Cymbals produce harmonics out beyond 20k, as do many brass and smaller wind instruments, probably acoustic guitar as well.

Synthesizers can play fundamentals out to 20k and beyond.