Interesting that my experience of the whole usage of 'identify' was in the context of men who have sex with men, and safer sex campaigns. So, as I recall, at some point the issue was men who had sex with other men, but who didn't identify as either gay (or bi). They were just chaps who had sex with chaps, but, for example, might have had a wife and children as well, and a totally straight heterosexual lifestyle apart from some of their recreational sexual activities.
So, in order to make sure that safer sex material reached this group as well, language had to be found. But note that the line was not erasing or hiding the material reality (males who had sex with other males), but admitting that not everyone used the same words for their lifestyle choices. This isn't the same as current 'identify as' usage, which seeks to obfuscate or ignore the material facts, like the actual sex or genital configuration of participants.
I don't care what someone identifies AS (unless I am asking more social questions about why someone who is homosexual, doesn't call themselves gay or lesbian or whatever), I care about what they are and what they do. The objective versus the subjective.
I do appreciate the linguistic comments made by others, I will admit it hadn't actually occurred to me that calling a relationship between a bisexual woman and a lesbian a lesbian relationship might not necessarily be the best usage. Words matter, reality matters, and opinions may differ...................
DIVA isn't the lesbian equivalent of Big Brother BTW, we are (still) allowed to disagree with the editors of a commercial enterprise as to what our own shared reality as lesbians means, or should mean...............BTW, just looking for some poetry by Judy Grahn, and came across instead 'Metaformia, a journal of menstruation and culture' that she is editor of. And the Psychoanalysis of Edward the Dyke is still worth reading!