As far as theories, I've been wondering if the 2 outgoing calls from EG's phone were her calling the landlord after possibly having a missed call or message from him that he was heading over or already there knocking on the door. If the landlord saw Lucas peek out the window and tge landlord told EG this, I think her next call could have been to JH to make sure he hadn't gotten wind of her leaving Lucas home alone. I wonder if she drove home in a fit of rage and it was then she premeditated what was going to happen and how. I think the reason she waited to report Lucas missing was to put some distance between her anger and the reporting. In other words, she needed to make it look like it was just a normal day and then suddenly he goes missing versus she got busted and took it out on a poor innocent child. She so wanted the world to think she was something she is not and Lucas innocently exposed her for what she is. All JMO of course.
What you've said about putting distance between the anger incident and the missing person's report, that's really interesting.
I've lost the link to ESO's updated doc for the list of where child bodies were found in the case of caregiver murders? I would like to have a look at that again.