There was a kind of cross cultural renaissance (or just naissance ) around that time.
Plato was just a generation younger than Heraclitus and his Logos is nearly identical to Tao as a concept. It’s framed differently but its gestalt (gist) is basically interchangeable. [I’m not making that up btw – that’s been long observed]
You’re thinking of this guy. He’s the mythological founder of all good Chinese things.
Provably though, the Tao can be traced back to Lao Tzu. He may throw its origins back to the Yellow Emperor into the mists of time, but it’s provably Lao Tzu’s idea.
This isn’t to say Lao Tzu was wrong but it’s even now a common writing device to give your ideas an ancient origin.
Carl Sagan used it in his description of “we are born of stars” for example, throwing it back to “from ancient times”.
It gives an air of authenticity.