Diplomatically the proposal about all our kids having dragon eggs means the heir to Dorne has dragons eggs, which I think might make some people Angry.
As a point while having a Dragon in Dorne would probably be upsetting politically it would also give a permanent, very visible representation of Targaryen rule right in the middle of Dorne which long term should help with the integration of the two nations. So we lose politically one way while gaining in another.