I have no data but feel that boys tend to get the family names and biblical names (in US anyways). It's rare to hear of a girl named Elizabeth III or Mary Junior but quite common for those concepts in boys. So I think the boy names are heavily weighted on probably the most popular ~25 or so names. Since girl names are more free to follow whatever is fashionable at the time, trends move faster.
My son is named after his grandfather, and it's an overly common name in English (American and British). Definitely a top 3 most common for last several centuries
I thought girls didn't use junior, III, etc. because traditionally girls adopt their husband's last name, so they would no longer have the same full name as their mother.
Anecdata: I’m a guy and a III. My son almost was a IV but we chose another first name and used my (and my dad’s and my grandfather’s) name for his middle name. My great grandfather had a different name, but I think his dad and maybe grandfather had the same name as me.
> I have no data but feel that boys tend to get the family names and biblical names (in US anyways).
Curiously, in the last few months in the U.S. I've met a Tamar and an Esther, both women given family names that were drawn from the bible.