There is a danger in supporting instruction with the wrong reasoning. If a student with a basic understanding of physics and piano mechanics realizes you are spouting BS, it discredits the whole thing.
It's all about how loud a note is played, and the loudness is strictly controlled by the speed in which the hammer is moved up.
You can induce sympathetic vibrations from an open (undamped) and unstruck strings and encourage certain partials and harmonics by holding a note down and striking others.