If this request is true, how did the story get out? Highly doubtful that anyone on King Charles' side revealed it. If it is not true, who started the gossip? Again, it didn't come from Charles.
The underlying problem with the Duke and Duchess of Sussex is that they have shown that they like to negotiate and publicize their points of view in the media. Nobody likes to have private family matters printed in newspapers and magazines. Yet, they just can't seem to stop it.
H & M “we want our privacy”
Also H & M: media on speed dial?