Who cares if Monk is not a starting PG? Similarly, who cares if Domas or Zach effing LaVine want a PG? Why is the front office listening to players who aren't likely in the Kings' long-term plans in the first place?
The Houston Rockets never bothered to acquire a PG after Fred VanVleet went down and they're 4th in the brutally tough Western Conference with a .633 win percentage. If a successful, well-run franchise like that sees no value in adding salary and putting lesser veteran talent in front of its young, developing players, then the Kings are certainly in no position to be doing otherwise.
Again, this is where the Kings constantly err. They decide they "need" a PG, so they go out and add unnecessary salary that they'll ultimately decide to dump later instead of just trusting in their developmental program to determine what they have in the youth already on their roster by ensuring those players see significant time on the court.
Would it have been a mess to trot out a "PG" rotation of Monk/Nique/Carter? Probably. But again... who cares? What did anybody expect the Kings to even be playing for this season?! It seems like the Kings are consistently in the business of tanking the value of their own assets by refusing to commit to the ones that matter in the long-term.