I can imagine the sense that history is repeating itself with Rory's pregnancy* would be a particular concern of Emily -and of Lorelai herself, but once Emily came and said it Lorelai would get on the defensive.

*imo the circumstances are quite different, in both positive and negative ways for Rory, but there IS a sense of "this was doomed to happen" anyway. Which as a tragedy enthusiast I personally enjoyed in the revival, but ymmv.