Lets say Canada passes legislation saying >50% of MPs must be women.
That would be an extreme abuse of democracy. If only 50% of ridings have a woman running. It would mean those riding automatically go to those women. Those ridings don't get to vote.
So yes, political empowerment only goes so in far as women having the right to run. Not confirmation bias; I simply believe in democracy.
I also note you never commented on the other points which were much more egregious and clearly make things appear much worse than it actually is.
I also go back and recalculate Canada's score. We are the MOST equal country surpassing Iceland and Rwanda by gigantic strides it also makes the study look pretty stupid because our equality is perfect and yet we have a large wage gap still.
This is because the gender wage gap isn't discrimination. It's entirely based on decisions made by women.