I agree that it's the job that gets evaluated, not the person. However, in my local authority, within ONE grade there are at least 12 different services across the council, and those services run the gamut from bin men, to care services, to benefit advisors, to legal teams, to landscapers, etc.
My one department has seven or eight different job roles all being paid the same grade (and therefore, the same wage) and all, technically, coming under the same 'role' branding. They are not in any way comparable. Some will require extensive periods of outdoor working with and without driving responsibility, some will require presentation to council committees, some will require extensive public-facing engagement, some will be more office-based, some may require occasional out-of-hours attendance for no extra financial compensation.
This might remove the more obviously gendered role differences across different services, but I very much doubt that it will end up with a fairer system overall in the long-term.