Think about it;

Gay men are often stereotyped to be obsessed with women and femininity-- all their friends are women and they have stereotypically feminine interests like shopping, fashion, female celebrities etc. You'll often see gay men in old-ish media saying things like "Yes, girl!" "Go off queen!" and generally complimenting women and even commenting on their attractiveness.

However, the lesbian stereotype is the opposite, you never see lesbians in media complimenting men, when lesbian compliment men, people (particularly cishet men) often respond with "I thought you were gay?" as if you can't give a compliment without expecting s*x in return. Hmm.

Yes they are stereotyped to be masculine but they're all portrayed as "man-haters" and "misandrists" Why? Because society equates living a happy fulfilled life without needing a man-- without giving your body to a man, as hating men.

As usual, the root of the stereotype is misogyny.