Women Complimenting Women on their Eyes

Earlier today or yesterday, someone on Facebook expressed that straight women never compliment other women on their eyes, and that doing so is pretty clear flirtation. I've been wondering, off and on about the accuracy of that statement since I've never really been good at flirtation, and have, like, no experience being flirty as a woman.

Just now, though, I recalled playing Wylde Flowers. Amira, the aggressively flirty lesbian doctor in the game kind of makes me weak in the knees with her comments on things like my character's "lovely eyes." Maybe there's something to this!

Do any women I know, queer or straight, have thoughts on this that would confirm or refute this concept? Inquiring minds want to know!