Living in the Bay Area and knowing how far workers have to commute for that job - because they’ve been priced out of the area - is something I’m willing to pay to the extent that money is going to the workers.
The "living wage surcharge" doesn't count, it's a political gimmick from restaurateurs against minimum wage increases designed to stoke public outrage.
The biggest share in operating costs for a restaurant is rent. Now if we could see a "the-rent-is-too-high" surcharge, that might spark a movement against excessive prices for apartment rents in the Bay. Fat change this will happen.