With all due respect, I have no idea what you base your ideas on that the King does not execute the rights he has in ways that all public sources claim he does.

Here for example Prime Minister Mark Rutte explains to a kid that the King also listens to the input of the King. https://www.youtube.com/watch?v=JeZI50tenmk (on 9:44)

Former Prime Minister Lubbers also said the former Queen gives input on who should become a minister. https://www.montesquieu-instituut.nl/id/vh01k0y2v7yx/nieuws/lubbers_zachte_sturing_koningin_beatrix

I have also studied law and I've heard judges make similar statements about the role of the King.