I too find it hilarious it's made by livernois... kind of confirms that they have worked somewhat close with Ford for years. Makes me feel better about my livernois tune, and explains why it's spot on for this truck.
100% correctThe distinction is it doesn't void the warranty as a whole, but it does allow for Ford's denial of claims attributed to the tune. This is consistent with how the terms are written.
The Ford Performance warranty picks up these denied claims for the specified 3/36.
There is a distinction between Ford (OEM) and Ford Performance (aftermarket) for warranty purposes here.
I still don't think the tune itself will cause issues, my concern is other powertrain failures for which the tune is an easy alibi.