I agree with what you have there Jon. I think what Baron is saying is we have world champions in things like Darts that have never been recognised by the award.
Darts and Snooker suffer because they arent really world wide sports (though sparadically they may cover the world). These sports are dominated by the British and so it is nothing new when one of them becomes world champion.
Darts and Snooker players have been nominated and in the running down the years
Phil Taylor is an 11 time World Champion who only got an invite this year because he asked for one last year.