Disregarding Luke's involvement, I wonder about parallels between Lorelai and Anna as single mothers.
Anna was the queen of stupid by not telling the father when the baby was born. Or potential fathers, perhaps. I wish that were a minor criminal offense.
Lorelai was rather passive about encouraging Christopher to be involved. Rory missed out on him, due to his own choices, but she could have been straight with Rory as a pre-teen to stop expecting it. She could also (gasp) have enlisted Emily's help at those occasional holiday visits. Given that Christopher viewed Lorelai as an easy booty call, I think he would have been all for it.
Anna was the extreme opposite, fighting Luke every step of the way, as we know.
I'm not so sure ASP viewed mothers favorably.