I guess it boils down to how credible the babysitter is, but the medicine dropper in those photos looks for all the world to be childrens' Tylenol drops. Same label, same color liquid. I suppose she could have doctored it somehow, but infant/children's Tylenol doesn't have any sleepy-making abilities at all, does it? It allows a teething/feverish baby to sleep, but just by making them comfortable.
Now, I'm sure an overdose is possible, but if EJ actually did say to give him some if he gets fussy, she could have been speaking out of ignorance. Thinking it'd make him sleep, or attributing his like of the taste (my boys love the taste of the medicine) as a calmer demeanor. I don't know, but the pictures didn't exactly fill me with horror. He looked nice and alert in some of the photos, and in the photo where he looked sleepy...he was in his jammies. Bedtime?
I don't know. In these cases it seems like I always think the worst right off, and in this one--I really, truly feel that he's alive. I'm not willing to give EJ the pass that a few have, but to me Gabriel in those pictures seems prepped. My immediate reaction was to say that the frames in the background and the book and everything else was staging. Do I think she was taking those pictures because she wanted them? No. I think they were for ad or emailing purposes. She was marketing him, and this seems planned enough that I think that was always her intent. She also seems the type to get into a manic zone and stick to a plan, and if her plan was to "rehome" Gabriel, then I don't doubt she succeeded.
She's very brazen and not quite right, and I think if she killed him she'd already have a confession on the books. She's doing this just to stick it to Logan and to maintain her self-endowed martyrdom. She's doing the "right thing" in her eyes, and the so-called adoptive parents are trying very hard to believe that right now. That same justification is why they're not coming forward, because if they convince themselves that the baby is going back to a horrible man, then the law-breaking and obstruction and illegal adoption issue is all worth it. They need to cling to the idea that they're doing the "right thing."