Yes. That's particularly galling to me and others who lived through the early days of the 60s assault on American values in which feminists routinely chanted "Biology is not destiny!" when demonstrating for unlimited access to birth control, abortion, and an end to "sex roles" in marriage, or the end of marriage itself as a "patriarchal, oppressive institution." In fact, gay or bisexual women have largely formed the leadership of the National Organization for Women and other lefty feminist lobbies. Yet GBLT's see themselves in the same leftist camp with feminists.
Personally I believe the left is largely simply opportunistic with its slogans. The core leadership doesn’t really believe them but they use them because they are effective if not truthful. They never let truth get in the way of a good marketing strategy.