Can you provide three logical reasons a juror might have which causes them to doubt Lori's involvement in the death of Tylee or JJ? I'm trying to exercise my brain with likely possibilities.
To take this to the courtroom issue (which is what matters) -- The defense doesn't have to "prove she didn't do it" (which is the angle you seem to be using). If the prosec doesn't provide convincing proof, then lack of proof requires a "not guilty" verdict. And jurors don't have to come up with reasons why they vote as they do -- if they think it's not guilty, and that there's a lack of proof, then that's what it is.
But to give you some specifics of what I see lacking, and where I see potential obstacles to a conviction, as you asked:
1 There has been NO evidence that Lori actually murdered anyone.
2 There has been NO audio or email or direct evidence in which she is conversing with AC, CD, or both and they are conspiring to murder anyone.
3 While I see evidence that can be
spun to look bad if you want to assume it, there's much (if not all) of it that can just be irrelevancies being twisted to look nefarious. And if you are spinning easily explained parts of life, and that's your PROOF, then I would not be buying.
... For example, much ado is being made of JJ's meds being stopped -- but, we don't know that really happened, and we don't know it really would have mattered if it did. Did he have to have them, or were they optional? What were the meds supposed to do? Were they expensive in the US and cheaper in Mexico? And iirc, it wasn't like they failed to get a US refill one day and he was dead the next, so the cause-and-effect linkage is really weak.
... Another example is Lori changing accounts for Tylee's benefits. Tylee was a MINOR and the benefits were to help offer support for her care. There are many ways to explain why a new widow would decide she needed easier access to those funds as she raised her kids, and no longer allow Tylee to dip into them as she wanted. BEFORE Tylee was dead, it is my understanding that Lori had full legal right to spend that money, just so long as it helped provide for Tylee's support (such as her food, clothing, shelter, insurance, transportation, etc etc).
... The fact she was distressed when she felt robbed of the CV life insurance benefit -- is that nefarious, or is that normal, to be without money and see Kay as the one who somehow did something that took away from you and robbed you.
4 I see lots of talk about her weird beliefs. But there has been NO evidence their beliefs were stated as "so we are going to go out and murder all the dark souls." Murder her kids because they act up?
... The evidence shows her actions that we saw over and over were of numerous attempts to change dark ones back to light (the so-called castings), which hints that they did NOT see murder as a desired or necessary solution, even if they felt the dark ones were now inferior as long as they were dark.
... Some who were dark did die, and some did not.
... The evidence also shows that in some situations, they thought God was going to end the lives of dark ones (with them expressing confusion when that didn't happen). That infers they didn't see "we better kill people" as part of the landscape they were on.
... And while Lori bought into these dark/light beliefs and passed them along, it's hard to say she created them, and there's no proof that to HER they were a pretext to murder (even if we see that as a possibility, and even as an eventuality perhaps). Beliefs are a tricky, individual thing, so was she waiting for God to solve the issues somehow (with castings, for example), while others were choosing to take action?
5 I'm far from fully convinced the murders of TR/JJ happened when prosec says they did. Possible? Yes. But it's a lot of what-iffiness in saying the actions on those dates meant people were killed. Most of each date feels like prosec saying 'this is the last day we know of them being alive' and to me that's not proof.
6 I don't put any value in what she did months after the murders as PROOF that she knew those murders were going to happen and she participated.
... She could have been persuaded, AFTER THE FACT, that they (AC and CD) took some actions she might not like, but that they knew what they were doing and were carrying out God's best path for TR and JJ (and her). She could have just moved forward in what, to her, was the best alternative she saw possible from there. Her beliefs had gone way extreme, in the first place, and she was living in anticipation that the whole world was about to completely change (including her role in it), so ...