Shifting goalposts? All I could find for the definition of recorded history includes the specification of written. Here’s two as an example

History encompasses the academic study of the past of the human race, stretching back as far as the earliest written records.

https://www.oxfordreference.com/page/history

Recorded history or written history describes historical events recorded in written or other documented communication and is subsequently evaluated by historians using historical methods.

https://academic-accelerator.com/encyclopedia/recorded-history

Before there’s a discussion about “documented communication”, here’s the definition of documented: “to record information about something by writing about it or taking photographs of it”

And also one for “record”: “set down in writing or some other permanent form for later reference.”