[Lydia doesn't mind the closeness. That very vivid reminder of seeing her dead on the ground only to have her there, hugging her, talking about saving herself did a lot to comfort Lydia. To help her feel more comfortable with Allison again. Less terrified that she was going to feel her death or watch her get demoted.

So much that she reaches over and wraps her fingers around Allison's hand as she hears her talk about her mother.]

I didn't know your mom very well. What I knew of her, she seemed very strict, but it was very obvious she cared a lot about you, Allison. She loved you.

Maybe she just didn't know, she didn't see things the other way around. Because that's never what she was taught. Maybe if she knew what it could do for you, how it could help you, it'd have changed her mind. [If that's true or not, Lydia has no idea. But Allison doesn't need to think bad things about her mom when she can't prove either way.]