An update on my progress!
Started out with Default Chocobo. Half of the FC named their Chocobos Steve, so we shall call him thusly.

Desert Yellow - Berries -> feather proc -> Cork Brown - Berries -> feather proc -> Ul Brown - Berries -> feather proc -> Gobbiebag Brown - Berries -> feather proc ->
Aldgoat Brown - Berries -> feather proc -> Shale Brown - Berries -> feather proc -> Goobbue Grey - Berries -> feather proc -> NOTHING - Berries ->Lavender Blue - Berries -> Awaiting results

More people have gotten an RNG bust on a feather proc it seems. This is my theory behind it anyway.
It stands to reason that when you have an RNG feather proc that skips ahead, that you would have an RNG bust feather proc.