the paradoxical situation where the party with a smaller amount of women in power is the socialist party.

The Socialist Party, AKA "PD", never had a woman in charge as a top leader, and a very little amount of them as high-rank politicians. Populist party and the New Right are outclassing them on the topic. Nevertheless they were always complaining how sexist was "the right".

http://www.lastampa.it/2018/04/11/italia/politica/quttrocento-donne-scrivono-ai-vertici-del-pd-non-ci-fidiamo-pi-basta-trattative-di-soli-uomini-u9ueNggC3JMicM0benB0rJ/pagina.html

and then they wonder why they've lost?

Double standard, double standard, double standard....