Of course it's doable. It happens all of the time. Every time 2+ people form a business, they split equity. At the small business level, it's an everyday thing.
At the larger levels, it's equally common. I draft private placement memorandums for clients who need to raise capital in exchange for equity stakes in their business. It's fairly common.
As for the restaurant description - sure the chef can have equity and the servers can have equity. But then no one takes home a paycheck. You get paid in distributions. But servers usually prefer guaranteed compensation over unpredictable payouts. Given the amount of restaurants that fail - it's the smart decision.
That's the part of the conversation that these equity split proponents tend to skip over. Equity usually comes with accepting the risk of not getting paid at times. If you can accept that, early on, some months you won't take home a penny then go for it. But most people can't afford to work for free until the business generates enough to cover it's expenses and still kick off a livable wage.
People look at the businesses that succeed and never think about the ones that failed and what happened to the equity in those scenarios.