I am going to float an off the wall scenario. Please bear with me, as I have a bad case of mental clutter.
What if the couple that took Gabe (providing they exist) are convincing themselves that they don't have the same baby, because they never saw EJ? What if she left him in the car, emailed them instructions and they just picked him up from the unlocked car and took off? They never even had to see her, and they could easily tell themselves that the baby on the news is not their baby. I know it's ridiculous, but at this point, what isn't?
If there is a couple, they have to be justifying this somehow.
EJ could also use this as a justification and even to beat a lie detector. She would have no idea who had him or where they took him.
I don't know if she would think that far ahead.