If he had been working hard the previous couple of days, that might be believable, but he hadn't been. It was the first work day after the christmas holidays.
People have said that she was close to her father, meaning that she wasn't distant. Obsessively close is a different thing. In his interviews CD has portrayed himself as obsesively close, but there is nothing to indicate that HD behaved the same way. What we do know is that HD spent a lot of time at CDs house to play with the baby. We also know that there was a period in HD's life where she was living with friends of the family, not HD or CD. What was the deal with that? If the parents were separated, and she was as close as everyone thinks, then surely issues in one household would mean that she would go and live with the other for a period.
As far as abuse allegations, if she was so afraid of telling her father (no evidence of that) for fear of him getting hurt, then why tell the grandmother? And why would the grandmother not tell the father? She wouldn't be afraid and apparently was not. She claimed that that they were trying to get HD out of there, but CD didn't seem to know anything about that. That whole story simply doesnt add up, IMO the allegations of abuse were made up by the GM. If the GM's allegations are true, then it implies that the relationship between CD and HD wasn't nearly as close that everyone thinks, and the GM was well aware of that. She just can't say it now that HD is missing.
I don't doubt that HD didn't like SA, she would have seen him as an intruder in her family and it would have taken her a long time to come to terms with it, but beyond that, I think the GM just extrapolated and exaggerated.
You can't have it both ways, the inconsistancy means that it is one way or the other.