Less, because those people have to live there where it's more expensive. While you live where you live where it is less expensive.
You're thinking of this as advantaging you, getting SF pay for working in Idaho Falls, but you need to think of is that salary in Idaho Falls is the "normal" base salary, everybody earns at that rate, and cost of living adjustments are paid on top of that base salary for people in expensive areas to create as equal of living conditions as possible in more expensive areas.
This is so commonly understood that nobody bothers to break it out that way except for the Federal Government pay scale. Everybody from Podunk, Nowhere gets excited when they get a job in the big city because of this pay differential on what they'd make where they live. Except the cost differential is similar and when they arrive they suddenly realize it doesn't buy them anything more.
By paying people "the same" at the base salary, your salary model would disadvantage people working and living in cities such that they could not do it and companies that need to be in cities would be unable to function.
Companies with large workforces in cheaper areas could also not pay their workers SF/NYC salaries or their costs would simply overcome their revenue or if they can manage it, they may as well have just hired in SF/NYC in the first place and realized better efficiencies of physically working together. Your robot is a poor substitute for actual face-to-face interaction and introduces lots of inefficiencies into communication.
Not all jobs for a company need to be in the expensive areas, so it would make more sense for companies to push those jobs to cheaper areas. But some jobs do need to be in expensive areas for efficiency. Cities exist because of those efficiencies. However, being a city with 5x population of Idaho Falls doesn't mean you have 5x the resources, so demand drives up the cost of goods and thus the cost of services rise and thus it simply costs more to live there.
Companies wish to continue operating, so they need people to be able to afford to live near where the company needs to be (which is dictated by the efficiencies of the city). This is reflected by pay differentials for people that need to live and work in these cities. Nobody can live in SF or NYC on Idaho Falls pay.