There is absolutely reasons to believe that equalizing pay, across companies rather than occupations, could be part of the solution. Less efficient companies underpaying their employees would fold. More efficient companies would get more money to hire even more people. Prices would stabilize, careers would likely be more predictable.
This was part of economic policy in Sweden in the ~1960s and as far as I can tell generally considered successful. Though it will, and did, also created large wealth inequality without other measures.