I doubt if home owner correction of the Zillow Zestimates will make them any more accurate. It would probably just push them all on the high side because almost every owner over values their home.
I can't imagine in my wildest dreams a homeowner complaining how Zillow has their home over valued, and getting on the site to correct the error
It doesn't seem to me that there needs to be any regulation. Most people today are internet savvy and many use C-D to learn more about real estate. Anyone spending time on this site should know that Zillow zestimates are generated by a computer and are not accurate. They are used to bring people to their site so they can sell advertising.
The way to solve the problem is to stop using Zillow, and use the sites of real estate agents who have IDX direct feeds from the mls with up to date information.