As a Moroccan-Dutch citizen who has lived in a democratic society almost all my life, the king still having some say in government affairs and the power to appoint people for certain positions, is not that big of a deal to me, as I am also used to that (although to a much lesser extent) from the Dutch queen, who is just as inviolable in the Dutch constitution and is part the government as head of state:
"Since 1848, the Constitution has laid down that the monarch is inviolable. This means that the monarch is politically neutral and the ministers are accountable to Parliament for government policy. The ministers are also politically accountable for what the monarch says and does. As head of state, the monarch co-signs new Acts of Parliament. He/she also contributes to the formation of new governments, In addition, the monarch is President of the Council of State and every year delivers the Speech from the Throne at the opening of the parliamentary session."