I wouldn't read too much into that similarity. I have never gotten the feeling that Alizée understood many of the nuances of Lolita when she read it (in her defense, she was really WAY too young for that book when she did), and I truly, truly doubt that she would name her daughter for anything connected with her career.
I'm pretty sure it's just as she said, they made up the name and both of them liked the sound of it.
Hopefully down the road she'll be able to say all three of them do.
