I think the simple word is “equity”. If you think government policy should be equitable, if budgets should pay attention to criteria such as equity goals, and if gender equity is a particular concern, then I think you want to do it.
There's a saying with performance budgeting that unless you're keeping score, you're not really playing the game. I would say the same thing here. If you're not tracking your progress toward your goals, how do you know if you're achieving your goals?
This goes a little bit beyond your question, but one point I would add is that I think that's true not just for gender equity but for all types of equity, whether it be race, class, regional, and so forth.