Lots of Dutchmen would like to see the King having a role in the fornation process again. But exactly this situation: at the Dutch-speaking side King Philippe receiving the biggest party (N-VA) and the biggest winner (Vlaams Belang) which are both separatist and loudly republican and then at the Dutch-/French-speaking side the King receiving the marxist and republican TPB/PVDA: this is "not desirable".
Because of the veil of secrecy, the monarch is open to attack. We have seen that when Geert Wilders, the maverick right-wing Dutch politician, did attack Queen Beatrix in hostile tweets. We could have expected the same with Thierry Baudet, who would undoubtedly file the King under "deep state" and "party cartels" if the formation does not go his way.
By hindsight the new situation in the Netherlands: the King is informed on how the formation is going (after all he is the head of state and is in the Government himself) but has no active role, was a wise decision.
But... this is Belgium: will the newly elected Parliament even agree in appointing a formateur and the direction he/she has to go? The veil of secrecy (what happens behind these walls?), often criticized, is now welcomed by the very same politicians...