Play to Win or Play for What???

If no player makes a mistake, then a chess game ends in a draw.
So you can only play to avoid mistakes.
To win you depend on your opponent making a mistake.
If no player makes a mistake, then a chess game ends in a draw.
So you can only play to avoid mistakes.
To win you depend on your opponent making a mistake.
I previously stated that professionals are spurned by a "fear of losing." But what do we get in terms of therapeutic value - and is it the same as the masters?