Yes, Al Bina. But I doubt very much that Grand Duke Henri defends the Spanish Inquisition or actively advocates denying the Sacrament to anyone. Miss Walker's position suffers from a sense of moral certainty and superiority, whereas Grand Duke Henri and his wife, Maria Teresa, strike me as people who try to live as faithful Catholics with humility and compassion for others.
Nor would he try to take an institution's Catholic status away cause Obama gave a speech there. Plus there is another article where she attacks Catholic clergy and institutions for working with a hospital that does not perform abortion or even refer women for them but it could potentially refer someone for one. GD Henri did try to veto a euthanasia bill but I think he learnt not to interfere from that. His son HGD Guillaume said he would not ever try to force his beliefs like that. Belgium was also one of the first countries to allow gay marriage. So all in all, mostly ones not to interfere or show activism.
The Golden rule of Christianity is to treat others as you would want to be treated - compassion. The bible also celebrates the good deeds and compassion of others who do not share your beliefs or religion such as the Good Samaritan.
While she has been raised with misconceptions, some of her beliefs regarding euthanasia, premarital sex and abortion would be shared with Imre's family. It is not her beliefs but her activism that is really more of an issue. I suspect she will have to be less vocal and active, and instead become a good wife and mother. Maybe they can channel her energies somewhere else to teach her compassion such as working with unwed mothers.