Nope. Then they would start accusing the algorithm of being racist, sexist, otherist. They would cite institutional bias - bias so pervasive everyone has it even while no individuals do - and demand the algorithm be tweaked for their favored lobbyists.
The problem with pay transparency is not that it doesn't work; the problem is that the entire concept is immoral and evil. How much money you make is, properly, strictly a conversation between the parties in the transaction. No one else should care about your income; they should focus on maximizing their own value and find those for whom their services are the most valuable. The kinds of benefits valuable to an individual are unique: everyone has a different in background, life choices, purpose, and capability. There is no way to account for the fact that person A values work that involves travel, while person B is interested in work with a predictable schedule; and it is improper for person B to look at person A's compensation and make judgements about their own compensation, not because it is impossible to analyze all of the factors, but because person B must decide their own purpose and work toward it.
This is simply another manifestation of the inequality debate. Equal is Unfair is a great book that unpacks the issues of inequality: https://www.amazon.com/Equal-Unfair-Americas-Misguided-Inequ...
Equal Is Unfair: America's Misguided Fight Against Income Inequality
https://www.amazon.com/Equal-Unfair-Americas-Misguided-Inequ...