We're on the same page. In a first past the post system, it is easier to manipulate the participation of women in politics.
As soon as there are several parties, the number of potentially winnable ridings decreases. However, if we shift to a mixed member proportional representation system with a list of members, it is then up to every political party to ensure gender parity on the list. Structurally, parity can be achieved.
It is very easy to say that we will keep the current voting system and that we will vote for either coercive or incentive legislation. However, there may be more female candidates in each party, but if we don't place women in winnable ridings, they will not have seats in the House, especially since the current situation favours the two-party system.