You misunderstand how companies decide salaries. You aren't paid the value you provide your company. You don't get a raise if you save the company money.

You are paid the least the company thinks it can pay to get an acceptable applicant to fill your position. The truth is that there are many capable people who would prefer to work remote, and they're willing to take a pay cut to make that happen. Therefore companies don't need to pay remote workers as much.