The whole pay gap debate tends to be dominated by both sides of the political extremities.
1. The side that claims that the absolute average difference between male & female wages is apr 30% & this is the result of sexism.
2. The side that claims there are no problems at all right now.
Obviously the truth is you really do need to factor in all the attributes around the worker to ensure you are comparing like for like - otherwise you end up in whats essentially a Simpsons paradox.
"Simpson's paradox, or the Yule–Simpson effect, is a phenomenon in probability and statistics, in which a trend appears in several different groups of data but disappears or reverses when these groups are combined."
I would say there is one genuine issue which should be addressed. Jobs which are traditionally occupied by women more frequently, tend to have lower pay than average for similar skilled jobs for men.
Cleaners, teaching for pre-school, cleaners, care workers, checkout staff etc. There are comparable positions for required technical skills in which men get paid a noticeably higher amount.
But these are changes to role pay - not based on gender & any changes here would benefit men & women equally in these roles, but would go towards helping a genuine cause of the pay gap.