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Thought it was more for security of the hub when it comes to rigid forks... Read a few (non scientific) things that suggest there's not much difference when it comes to rigid forks e.g. http://www.singletracks.com/blog/mtb-gear/rigid-fork-shootout-qr-open-dropout-vs-thru-axle/
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"thru-axles tie the fork or frame together in a much stronger, stiffer way"
I don't believe reviews that are based on rider feel. If he had some kind of device measuring flex in the fork legs I'd pay more attention to it. Maybe it doesn't make any diff. in rigid forks but without data it's not swaying me either way.
Because discs need to be kept straight (not much room between pads) and thru axles make the fork/wheel setup more rigid, so your discs don't rub, squeak, etc.