Agreed. I think a tutorial step with mixing from obvious directions followed by the current one would be better.
// Beware the SI's broken definition
// of Hz. You should treat the radian as being correct, as a fundamental
// dimensionless property of the universe that falls out of pure math like
// the Taylor series for sin[x], and you should treat the Hz as being a
// fundamental property of incompetence by committee.
...
// You are perfectly right. You are perfectly wrong. You look dumb and
// unreasonable. The person arguing the opposite looks dumb and unreasonable.
//
// Hz == YOU CANNOT WIN
//
// (Insert "IT'S A TRAP" image here.)