Broadly, I hate all the judging and complaints about every little thing and do think they can't seem to do anything right, particularly according to the main tabloid media.
Their one mistake was the labour thing. In retrospect, agreeing to say when she went into labour was a huge mistake. I can see how it happened - they had the vision of her labouring nicely at home over 12 hours or so. Figured they could put out an announcement at some point and then 24 hours later announce birth.
But as 90% of women who have given birth can tell you - the best laid plans go out the window. The decision to agree to announce labour was well intentioned but clearly a bad one.
And then they DID handle it badly. An announcement at 9am on Monday morning saying she'd gone into labour in the early hours of the morning would have been fine, even if the baby had been born. No one would realistically have expected a labour announcement at 2am (even my dad told me not to get in touch between 11:00-06:00 
) and it would have worked better.
But that's a rookie mistake, probably based on new PR team and everyone finding their feet while simultaneously having a baby for the first time. Otherwise, I'm with Bertrand - I can't work out why everyone is so annoyed with them. And the American pool photographer/camera person seems perfectly reasonable to me in light of the fact that she's american and the american public is very interested.