I would first ask them what they mean by "it worked for me". How long did it take? How well can you read?
If you're talking about learning Kana, then my argument would be that some flashcards or computer based drills are going to be a more efficient method of learning, if perhaps less pleasant, than reading a story for each character. And why go through this circuitous thought process of seeing the character, recalling the appropriate story, and then divining the meaning? We don't do that for our letters, and we don't do that for simple arithmetic.
If you're talking about learning Kana, then my argument would be that some flashcards or computer based drills are going to be a more efficient method of learning, if perhaps less pleasant, than reading a story for each character. And why go through this circuitous thought process of seeing the character, recalling the appropriate story, and then divining the meaning? We don't do that for our letters, and we don't do that for simple arithmetic.