My parents used to make me weed our yard as a chore and a punishment. I still harbor an irrational contempt for the sow thistle you see all around southern California.

I heard someone, a successful ecologist or chef or landscape artist I believe, once say their parents wouldn't let them pick a weed unless they could identify it.

That struck me as a truly brilliant idea. I think it also helps combats that fallacy you've pointed out.