mdd: What you are saying does not make any sense. If their Limmud was right, then they got the right Halachah. According to the Geonim, that’s all there is to it. If we get into the Rambam it will be a bit different. Then I could hear the claim that the Limmud was wrong *because* it came from a wrong outlook.
And how was this relevant to this thread anyway?