That’s ostensibly the way it is in California now. Theoretically any citizen can propose a bill, organize volunteers to collect enough signatures to get it on the ballot, and lobby the public to support it.
In practice that takes a lot of effort, organizing and resources which means moneyed interests are more likely to get their ideas in front of the public than non-moneyed interests. A billionaire can hire thousands of people to collect signatures or blanket the airwaves with messaging about their pet proposition; a local community organizer can’t.
