Yes, and that's not what she did in this case. She gave an explanation of what happened. She didn't do that in the other cases where she did something and then denied it.I thought of a third similar incident from the ones we've been discussing above. The day she wouldn't say what she'd done with Gabe, went to Logan's place of work and tore it up, wouldn't say where Gabe was until finally LE arrested her. Then she said what happened - that she'd given him to the Smiths, and LE checked it out, and indeed she'd been truthful.
That seems to support that when she said hadn't after all killed Gabe, but given him to the couple at the park, that she was telling the truth.
You sure do make extraordinarily well-reasoned and rational points. I truly do hope you are spot on (as you usually are) with this one, because that would mean Gabe is somewhere being cared for and waiting to come home to his Daddy.