To be fair to lookout there's not much I disagree with here. Sheila was up and down and when she was down she was in a parlous state. But she wasn't really thinking things through those last few days, the prescribed medication's side-effects taking their toll, which is why Jeremy saw his chance and called this the perfect crime.
Except that Lookout is stretching them for her own advantage. Let's just have another look at it. She may not have liked that Colin had overall care of the twins but she had few alternatives. As for Heather? She'd been part of the children's lives for some time. The twins had always had another care-giver in their lives. It was nothing new. She probably wasn't too thrilled with the thought of being packed off to "God's waiting-room" but no one could force her if she chose not to go. Okay, so Colin was taking the boys to his sister's with a woman who was already part of their lives.
Her meds were making her lethargic and her depression had robbed her of mental energy. It panned out into the perfect time for Jeremy to put his plan into action. He'd probably never get another chance like it.