Poland is not known to be one of the more socially enlightened countries on the planet :(
I would not make a link between what Zawada was saying and the question whether Poland is socially enlightened or not. I know nothing about his personal opinions on women's rights or even human rights in general.
As for Poland being "socially enlightened" - it certainly is not by our formal standards, and you will find a lot of patronising nonsense even in public life. Strangely enough, the 45 years of socialist rule made it in some ways miles ahead of New Zealand (for example, equal pay for men and women for the same work, or paid maternal leave for up to 2 years with an optional third year at half pay, etc).
In other areas It has become pretty bad under the current government (in office since 2015) that is trying to turn Poland into the closest thing to what Franco's Spain or Ireland under the Catholic Church rule have been (clawing back of the previously existing abortion rights etc).
At the same time , you would be surprised at the growing strength of their younger (and older) generation's support of women's rights to bodily autonomy, rights which have been trampled by the the powerful church lobby that has the gained the ear of the government for over ten years now.