Is this weird?

This is my 5th baby, my husband and I share our 1 year old daughter together, and he has 3 other kids. We found a name we agree on, but now are rethinking because it starts with a Z. My husband has 3 other kids with another girl all with a Z name. Zaylynn, Zarrah, & Zoey. Our daughter is Lilly. Would it be weird to name the baby with the Z name, which would have the same nickname “Zay” as his son? Should we pick a different name? Baby will be here in less than a week.