I think the children of Princess Madeleine will not request permission. Maybe eventual children of Prince Carl Philip will request permission when their aunt Princess Victoria still has only one child.
I expect that the De Marichalars and the Urdangaríns will not request permission when they engage in a marriage.
I think that we will see a reform on the titulature of "Prince (Princess) of Belgium" (as this title is hereditary in both the male and the female lineage and will explode in numbers when there is no reform). Besides that Archduke Amedeo has set the example and I expect his siblings, as well the children of their uncle Prince Laurent not to request permission either.