You would have to file periodic public disclosures about your ownership stake and transactions in the company. Owning or controlling (directly, or indirectly, e.g., through a private company) 5% or more of the outstanding shares of any one share class makes you a "beneficial owner" under Section 13 of the Exchange Act and you become an "insider" under Section 16 of the Exchange Act if you own more than 10% of a class of a public company's registered securities. Section 16 also allows the company to recover "short swing" profits from insiders within a six-month transaction period so insiders need to plan transactions in advance to avoid the appearance of impropriety.

I'm also not sure what the benefit would be? The compliance/reporting/disclosure obligations would be more or less the same as creating a "founders class" of stock with juiced voting rights.