Lorelai's proposal to Luke: out of love or out of desperation?

Some fans say that she proposed to him out of love, while others say she proposed to him because she was feeling frustrated because of what happened with Rory, as if she had failed as a mother, so she desperately wanted to marry Luke and have another child, as if she wanted to do things differently.

I personally believe that she proposed to him out of pure love, especially after seeing how much he cares about Rory, and this is what she said to the therapist in (6.22).

I think you can see this in the transformation in her facial expressions that there is realization and true love. Good acting from Lauren in this scene.

So, What do you think? Which of the two opinions do you agree with?