A policeman by the side of the road will refer to the sticker if he’s getting into that. In court, it all is relevant and will be examined. “A man’s got to know his (vehicle) limitations.”
In the end, all the app is doing (if it’s programmed correctly) is helping you stay within all of the limits. With a gooseneck, I suspect GCWR will almost alway be the controlling limit on these trucks. If you are already aware of and following all the limits - GVWR, GCWR, payload, axle ratings, tire ratings, trailer weight ratings, tongue rating, and hitch rating (what did I miss), you know what you are doing and will be legal. If you have an accident and are 3k above your actual most limiting rating, and all you can do is point at the hitch rating to defend yourself, you may be found liable.