The thing about his girls is that they both have the initials "JLE" like their father. Both have fully English names even though they are living in and are going to school in Croatia. Croatian is actually their dominant language and only speak English when their father is around.
So... not a thought on honouring their Croatian heritage and giving them a name in their own language? For someone who is always virtue signaling that he's an egalitarian and supports the empowerment of women, it seems that their children's names do not reflect anything related to their mother. It's a common thing in Western society to name a child with elements from both parent's backgrounds.
Jessica has the middle name of "Liberty" and this was stated at the time to represent both parents' freedom from leaving the Jehovah's Witnesses. Since "Liberty" is not a name, this stands out. These names stick with them their entire lives. Did he really think of when Jessica got older and asked about her middle name, she'd have to relate that before she was even born, both her parents disassociated from Jehovah's Witnesses and this is why she is named that way? Shouldn't he want to keep the girls away from anything relating to their parents' JW past?
Julia's middle name is after Lloyd's mum Lesley. This is fine and appropriate as this is a family name of someone who was so influential to their father, so I know he understands the importance of doing so. It's just that there is nothing in their names that connect those two girls to their mother and her side of the family. They even got his initials.