I think that it's a little unrealistic for the prince to be disinherited over something this minor. He made a fool out of himself in public, and he alienated one of the major noble families (although the MC's dad seems to be getting along pretty well with the king now), but he's also 16. The king also doesn't look like he's about to kick the bucket any time soon. Will people really remember or care about this in ten or twenty years? Is there another candidate for the throne? It would probably be a younger brother, but if that's the case then there's no guarantee he won't grow up to be even worse. Changing the order of succession will also make the prince into a rallying point for factions to push him as a pretender to the throne. I'm probably overthinking this due to playing too much CK2.