I've never actually encountered an employer who set job offer salaries to reflect where remote candidates live. People point that out as a benefit to companies hiring remote employees (it'll save them money!), but does that actually happen?
At my previous job, after acquiring a company that had a mostly-remote workforce, everyone eventually moved away from our home area (DC) to cheaper parts of the country. No one took a pay cut to reflect the fact that they now were living somewhere cheaper (and everyone new we hired was in the same range regardless of where they lived).
Also, having lived and worked in Boston, the Bay Area, and now the Beltway, I was surprised to find that salaries weren't any lower or higher in any of those places, despite the costs of living being all over the place. It's possible that my particular corner of the industry (infosec) is just less geographically-dependent.