I think that is very wise advice, elliejjtiny. Every labour is different, and it can be very difficult to predict how you will feel afterwards - especially with your first one.
I love the fact that my PIL met their first grandchild when he was only 4 hours old - it is a treasured family memory. But what was right for me could be completely wrong for someone else.
I think it is vital that a woman's dh/dp is sensitive to her, and prepared to facilitate whatever is right for her at the time, whether that be visitors or no visitors.
There was a huge thread, some months ago, by a man who was desperate to get to show his son off to his parents as soon as possible after he was born, but due to tensions between his wife and his mother, his wife was saying that she wanted to be able to decide when she was ready to see her MIL, even if it took a few days. He wanted MN to help him talk his wife round, or to back him up when he said that his second option was to take the baby to meet his mum in a different room.
We did our best to explain how overwhelming an experience childbirth is, and to help him see his wife's point of view - and that she might be very unhappy at the thought of her brand new baby being taken away from her, even by is dad - but I am not sure he really understood, and I think at the end of the thread, he and his wife had temporarily separated (the baby hadn't been born at that point) - and I don't think he ever came back to tell us what happened when the baby was born, or whether they managed to sort things out.
It was a very extreme example, but he really wasn't listening to his wife's needs, and was putting his proud papa moment with his son meeting his parents ahead of his wife's feelings - a real no-no.