This isn't just a "monument" in the sense of a statue. It's a National Monument, like Devils Tower or the Little Bighorn Battlefield.
But yes, they absolutely could decide that LGBT history is not worth celebrating in the same way we've decided that treason and slave-owning isn't worth celebrating.
But it's a little unclear on why they decided that quite so much of our history should be about those particular people. They never seemed to want to supplement other statues to remember more of history.