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There was a study done on this. Over the past 15 years the Mariners have actually had the 3rd best turnout on propects turning into MLBers in relation to their national ranking (doesn't include Griffey or ARod).
The problem with the Ms was that they had very little minor league talent worth anything in the 2000s and the ones that did end up having value were traded (Choo, Guillen, Cabrera, etc).
In comparison, the Braves were middle of the pack. They haven't done an above-average job of developing prospects at the MLB level, they just had a ton of quality prospects to plug in. Even now, the Braves are absolutely loaded in young talent.
If there is something to learn from the Braves, its likely their ability to scout well and perhaps developing players at the minor league level.