The Rebellion was a multi-ethnic and multi-species group of freedom fighters lead by a woman.
Anything can be framed the way you want it to by distilling it down to a slogan like you did. But it doesn't
make it so.
Star Wars is a throwback to 1930s style swashbucklers and draws upon the hero's journey all the way back to Gilgamesh. That is not progressive at its core. It's
reactionary in being steeped in nostalgia for an earlier, more "civilized" time.
The moral landscape of the 70s was just as cynical if not moreso than today, thanks to Vietnam and Watergate. Star Wars presented an appealing escape from the seemingly intractable malaise of the 70s. Good was good. Evil as evil. And nobody sat around pontificating about identity politics.
Leia was a princess and the Jedi were knights in order to evoke fantasy tropes. There's nothing progressive about royalty or feudalism.
Leia was STILL a damsel in distress through most of Star Wars' runtime. It was only after she was freed did she grab a blaster and start mouthing off like a screwball comedy and then reassert herself as a military leader at Yavin.
So Star Wars tried to have its cake and eat it too. It was that delicate balancing act of presenting a world that felt old fashioned without feeling politically incorrect (at the time). This is also why there is no true organized religion in Star Wars. The Force is more of a philosophy than a religion. So it has the warm fuzzies of a Normal Rockwell painting without beating you on the head with outdated cultural dogma.
This is also why, for instance, E.T. was such a hit, as E.T.'s message was nothing more than "beee goood".
It's only when post-modernists start deconstructing media to an anal-retentive degree and drawing little hash-marks, white men here, women there, blacks there, that everything just turns into a massive pain in the ass rather than the uplifting feel-good entertainment Star Wars was always supposed to be.
/rant