Lieutenant Hawk in FC was gay, was it an important story point? No, so it didn't need to be mentioned.
I've read this claim before in articles, and watched FC again last month. As with any plot element, if it's not presented in the film's theatrical cut, it basically doesn't exist, regardless if it was in the original script, a deleted scene, or if Neal McDonough used it as a background for his character. Whether Hawk is gay or not is irrelevant in the film. Sexual/gender identity should really be irrelevant in terms of how we relate to people in our everyday lives as well, unless we're in some sort of sexual relationship with them. It's no one else's business.
It's like when someone asked Dominic Keating if Malcolm was gay, and he enigmatically quipped, "God knows I played him gay."