I don't think Iger holds anywhere close to 7%. Dude would be listed in Forbes billionaire list if he held that much. And he's not. He's not even worth 1B, he doesn't even own 1% of the company.
https://www.forbes.com/billionaires/list/#version:static_country:United States
The biggest individual shareholder of Disney is either George Lucas, Isaac Perlmutter, or Laurene Jobs. Jobs was a clear number 1 until she halved her shares earlier this year and now we don't know because if you own less than 5% you don't have to publicly declare it. Therefore we don't know if she divested more shares (or bought more). Likewise, we don't know - and have never known - if Lucas or Perlmutter have divested or bought more DIS shares.
Berkshire Hathaway used to have a pretty good stake, not sure if they still do, think they were 5ish, but that might have changed.