Just to condense the points made in this thread into one post:
I have a theory that the more nude a woman is allowed to be in public, the more free she is in that society. Nations most repressive and abusive toward (including gender inequality, misogyny, sexual abuse, etc.) women seem to be those where they are required to be fully covered, like some Muslim nations.
Conversely, nations (not including tribal ones) where women are allowed to show a lot of skin, especially those where toplessness is less of an issue, seem to have more gender equality and less sexism toward women. See nations like Sweden, Norway, Iceland and Denmark, which are well-known both for their lax attitudes toward public nudity and for their feminism.
In addition, most westernized countries that have improved women's rights over the last few decades (like, the U.S., for example) also have been increasingly more accepting of women wearing less and less clothing. Compare most westernized nations in the 1940's to how women in those same nations dress now; the further back in time you go, the more sexist those nations were, and the more conservatively women were required to dress.
Lastly, even feminists draw a connection between how much of a woman's body can be revealed with how free they are in that society; for example, women have filed lawsuits saying that bans on women being topless where it's acceptable for men, violates their Constitutional rights. There's a clear correlation between nudity (at least what society considers "female" nudity) and freedom in the minds of these feminists.
Here's an article making the case that bans on female toplessness is another form of control and sexual objectification of women:
https://www.theguardian.com/world/2019/nov/23/topless-bans-free-the-nipple-laws-female-bodies-sex-objects-utah