I wondered about the feet when I looked at the photo. My kids were all early so I assume overdue baby maybe just look a bit better cooked

As for the birthdate, I am sure little Archie was born when they said he was. There is no way that kind of secret could be kept in this age of google!
One small note I would like to make. There have been a number of posts here, and articles and comments out there about “bonding with the baby immediately after birth.” I know lots of people think that is a thing, but it really isn’t. Yes, it is lovely to be able to hold your baby right after it is born, but many, many, mothers and fathers can’t for lots of different reasons. As the mother of a child who I didn’t get to hold until 24 hours after birth, the perpetuation of this myth can be really difficult. So many people made comments to me about how sad it was that I couldn’t hold her and asked me if it was difficult to bond with a baby who spent its first weeks in ICU. The answer to that is: no, it isn’t sad I am so happy she is alive, and no, bonding does not happen in the first moments or even hours after birth. Bonding takes place over years, not hours. Parents and adopted children bond, parents and children in ICU bond. It is just another one of those things people talk about and make comments about out of ignorance. Most mean nothing by it, but that doesn’t make it any less hurtful. It doesn’t bother me now, but in those first few weeks my dd was in hospital it created yet more stress in an otherwise stressful situation.
It might be better to use the phrase “enjoyed some private time” rather than referring to bonding.