Women's fundamental human rights do not depend on geography. But how those rights are reflected in the law depends on the political context.
Democratic systems have a much better track record of advancing womens rights than totalitarian systems ever have, and sacrificing democratic fundamentals for the sake of any given issue, however compelling, puts all of our rights at risk.
Today the issue may be abortion, but tomorrow it might be other civil liberties. It's nice to think we'll always be on the right side of history, but if we fail to appreciate our democratic inheritance, and defend it to the full, this conversation wouldn't even be happening.
So yes, how rights are expressed and defended definitely depends on geography, to the extent that we all rely upon the democratic traditions of the nations that defend those traditions.
Just ask women in Iran or Afghanistan.