Not privy to any other information at all. Just connecting thoughts and kind of theorizing, based on human behavior and addicts' behavior. I hope this makes sense:
Most of us would assume that if he was at a babysitter's house, that a) this would be different than his home, b) he wouldn't live at the babysitter's house, c) if he was at the babysitter's house, there would actually be a babysitter there, watching him. So AD said he was at the babysitter's house, which was the truth, and let everyone assume that someone was watching him. She didn't actually lie, IMO.
It's also typical addict/dependant behavior to make statements that one knows others will fill in the blanks on, and then be innocent of misleading folks. AD, in her mind, could be upset and indignant that LE did not jump on things soon enough, because it wasn't her fault that LE jumped to conclusions and then thought she was telling lies. That's all my supposition, of course.