A most interesting time and I suspect that the testing and evaluating their bond contributed to their falling asleep, though I wonder if Daphne isn't supplying some extra energy to help Harry's body deal with the condition it finds itself in. I suspect Hermione of being the third part of the bond and I reckon selling that to her parents may be something of a challenge. I do like Daphne's parents and their friends and it should be interesting to see what having solid support behind him will do for him.
I quite reckon that Albus is going to find himself thoroughly stymied if he tries to put Harry back with the Dursleys. I could see the wards not going back up, no matter how he tried, thanks to the Bond with Daphne and the third party interfering and insisting Harry go with them. It should be a practice in patience and adapting to reality for the Manuplative Old Bearded-one (other terms starting with "B" may be used to season to taste).