I'm sure it was a Thursday or Friday the palace confirmed the baby wasn't here and that they would let the press know when she went in to labour (I have been on nights this week so i maybe a little out on my days.) I don't think the palace would outright lie to people they would just keep quiet.
As of yet nothing has happened that we know of that is anymore than a couple waiting for their baby to arrive. Whatever you think of then I feel for them normally it's stressful enough with everyone texting to ask if the baby has come but to have this level of attention and speculation must be intense.