Bad training exercise (#45982)

The exercise #45982 has the end when white queen has eaten black rook at A8. It is a successful finish of this exercise. But! Black queen can move to H5 and put in checkmate white king in one move!
I think, it's bad practice to learn to get a checkmate, isn't it?
Or maybe am I wrong?

But you can take the knight with the rook before that happens. It is white to play at the end of the puzzle.

Oh, yes. Sorry :)