That is exactly what I'm saying. Do you somehow contend that hunter-gatherers societies are more likely to have left written records that have survived to today?
Let me put it more simply:
Did hunter-gatherer societies invent more artifacts that survived until today or did agricultural societies? This is an objectively quantifiable actuality we could check.
Which societies that we know about today had developed writing surfaces that persist until today? This is something we can check.
Be reasonable. Clearly, based on everything we know today, we're talking about agricultural societies here, not hunter-gatherer societies.
Now, a male name might be more likely, but that tells you nothing about what it actually was. That kind of analysis is not appropriate for answering such a question. It answers some completely different question.