As Jessee's dyno results show, overall gear ratio does matter on that dyno, the way the dyno run was performed. The results are very different between 3rd and 4th gear. There is no way you can look at those results and conclude that the gear ratio is a non factor.
A difference in axle ratio causes a difference in overall gear ratio essentially just the same way a different transmission gear causes a difference in overal gear ratio. If axle ratio was a non factor, then transmission ratio would also be a non factor. If the overall gear ratio matters, then the entire combination of transmission gear, axle ratio, and tire size all matter.
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