I'd love to see people making pronouncements like this performing under the pressure LL was under in a court room - would you really be able to present the most appealing picture of yourself knowing that 99% of the people in the room believed you were the worst baby killer ever? Or might you be strung out, defensive and aware that no matter what you said or how you said it you'd be "wrong".
If she'd been emotional - manipulative, trying to gain sympathy. Challenge the prosecution and experts - arrogant. Vague about incidents from what, 6 years ago? - Convenient memory loss.
I've been in a similar situation without actual death in the mix but with serious accusations leveled at me and no way of proving my innocence. That put me under the scrutiny of the authorities for three long tortuous years and left me with permanent CPTSD. At my most paranoid, I truly believed I was going to spontaneously combust and could be found often sitting in a cold bath in the wee small hours. When I shared this with my barrister, he didn't break stride other than to reassure me there was a working fire extinguisher in the corner of his office.
I didn't get as far as criminal court (and looking at the "evidence" in this case, I cannot fathom why not as medical experts were unanimous in their opinion of my case) but I had to deal with people who believed in my guilt wholeheartedly on an almost daily basis for three years, and who made my life as miserable as possible in several cases in lieu of punishment by prosecution. I am still, 30 years later, on official record as guilty by the balance of probabilities with no recourse. When I left the Family Court with as positive a resolution as was possible my solicitor, who went on to be a respected circuit judge in the field, told me to not even think about suing. And the experts implied I should just stick with the one child if I wanted a quiet life. Which I did.
So if LL is innocent, I promise you she's in a special kind of hell indeed. Especially given the "medical evidence" presented.
Some of us have been through the system from her side due to dogma, and an unwillingness to fully examine other explanations for things "just in case" a guilty person "gets off". The system is a juggernaut which, once rolling, has no brakes. The more time and effort and money put into a case, the harder it is for the multiple agencies involved to call a halt because the damage has been done anyway, and the adversarial justice system relies on winning or losing.
Some of us are experts in a narrow field indeed. A minefield.