They even remove names from resumes for hiring decisions to avoid unconscious bias from the decision makers.
This is about as close as you can get to a completely fair system and is far above and beyond what can be reasonably expected from a business.
It seems that your solution is to simply increase bias in the labor market rather than try to make it more efficient. Over time, marketplaces tend to abhor inefficiencies and seek equilibrium, so not only would "give women more money" inevitably have unforeseen adverse side effects, but it also runs counter to our fundamental social and economic principles.