Lucy because this is Lucy is so much less than the Lucy in Supergirl.
Lucy has never been a stable character. She has had ups and downs in comics and series. I was disappointed that Supergirl didn't give her a proper conclusion. After season 1 we never heard about her anymore. That said, there's a 6 years gap between her last appearance in Supergirl and now. While somethings are different, she may have had a similar past. In a flashback she said she lost her job and her fiance. It drove her to depression and made her vulnerable to Ally's cult. Also, in this reality her mother left them when Lucy was very young. In the versions were she was raised by Lois and Sam she has had linguering problems as an adult. In Lois and Clark Ellen was an alcoholic absent mother. In Smallville she died early. In both cases it affected Lucy's personality making her an immature and problematic adult.
I'm especially disappointed that Sam and the boys aren't really getting to know Natalie. I've known several people who got to meet siblings and grandchildren as adults and never have they been as unemotional as the characters in S&L.
But to be fair they are not related. Sam didn't have a granddaughter in this reality because Lois lost the baby. The same applies to Lucy. I guess the boys are addapting fairly well considering they never had a sister. Natalie also didn't have brothers, she was an only child and we don't know if her mother had a sister. She had Sam as grandfather, but Sam has always been emotionally distant; even with the boys he's stiff and cold. Lois already told Clark how she feels guilty because she didn't feel anything when she got to know Natalie. But it's understandable. She is not her daughter. She would have a daughter called Natalie if she had not lost the baby, but she wouldn't be this same Natalie. She would be Clark's daughter for a starter, not another man's. And Natalie may resent Lois because, although she looks like her mother, she choose another life and built another family. And judging by the last episode, she still doesn't trust Clark. They are all struggling, but it's an awkward situation for all of them.
I keep hoping there will be a meeting between them and have Lucy recognize Natalie.
Lucy couldn't recognize Natalie because there has never been a Natalie on this Earth. Natalie didn't exist in Lucy's old life, too. She's from another Earth, not from the erased Earth-38.
I still hope Lucy will redeem herself helping to defeat Ally in the ending, thus recovering her confidence and finding a new purpose for her life, because she will realize she is stronger and more capable than she thinks.
Andreia