I honestly think now that it will not be Lindo and that they will indeed be having a completely private birth. They will post a photo on their IG, but that is it. I know tradition says they will do the photocall, but this may be an area where they finally actually buck tradition (despite the breathless media reports otherwise, they stick fairly firmly to royal family ways otherwise).
I hope I am wrong because I think that is the wrong approach from a public relations/media management/ect standpoint, but the utter lack of press information or briefing points to this for me.