My point is that the validity and soundness of the inverse proposition has no bearing on the validity and soundness of the original proposition, so you’ve proposed a meaningless experiment.
I also think that your hypothesis that voting and values are not connected is false, but that’s a separate issue.
I understand your point and I agree with it. I didn't respond to it directly because it wasn't contributing to the discussion at hand. But I agree with your point that an inverse proposition doesn't always hold!