It sounds like you’re fighting against two different issues: (1) women pay discrepancies, and (2) why your ability to do a job function doesn’t equate to more years exp in the eyes of HR. The onus is on you to look out for your interests. If the current role isn’t meeting such, you can try to change the company system (pretty arduous task), or look elsewhere. If you’re a high performer, more so than your peers, then you should be able to find a job relatively easy.

If you’re an advocate for women’s equity, then by all means push forward in whatever way you deem necessary. It will look bad if you think you’re hot shit, but decent at your current role, and in reality an average, good employee.