I think your suggestions are likely to date. Or she'll be one of a selection of them all spelt slightly differently at school. One of my DCs has Isabel, Isobel, Isabelle & Isabella (one than one of) in her year at school.
Lyla and Lila will. Ten years ago there were hardly any and now you fall over them in the street! Leila maybe not so much. I also think Lyra, Leah and Lily will date.
It would put me off using them, but then, I expect the names I gave my dc will date eventually (though tried to go classic, but might of failed!). SO maybe it does not really matter. I find them a little boring though.