In our timeline, at the time of the DS9 pilot, Bajor was utterly in shambles. Just having come through a 50 year occupation, the planet is deeply divided, we hear about famines, flood victims and war orphans. Parallels takes place 2-3 years later, and tells us that "Ever since the Bajorans overpowered the Cardassian Empire, they've become more and more aggressive". I don't think "our" Bajor could have gone from that shambled condition to defeating the Cardassian empire and even defying the Federation in that short amount of time. Also, Kai Winn could be aggressive, but never just for the sake of being aggressive, she would only do so if she thought she'd actually gain something by it. All that leads me to conclude that that "Parallels" Bajor must have been significantly stronger than the Bajor we see on DS9.
I got the distinct impression that in that universe, the Occupation happened in reverse - meaning, it was the Bajorans who invaded and occupied Cardassia.
@Nerys Ghemor rolls with that in her fanfic series "Catacombs of Oralius" (which I highly recommend).