All this would have been avoided if they hadn't been so deliberately evasive and ambiguous for the labour announcement (made after Archie had been born!). They tried to play a game and failed. By the time of the birth many many people had well and truly got her number, were sick of seeing her in the press, starting to wonder whether they had ever seen a baby bump look quite like that, and many other things including keel over at the price of the £100,000 Dior curtain she wore on tour. Nobody was particularly interested in the birth, name etc but oh no, she had to hype things up as much as possible whilst screaming for privacy and refusing to do the "steps of the maternity ward" photos.
The gloves were off after that as far as the media were concerned and, via their ridiculous blaming games to justify the move to Canada which was obviously just a stepping stone to her chosen home of LA, this is the outcome.