I think it is extremely important for everyone in the Greek mythology community to know that even though Greeks can have light skin and light hair, and that white supremacists like talking about Ancient Greece and using statues as their profile pictures, it doesn't mean white supremacists actually like Greek people.
White supremacists use Ancient Greece to insert themselves and their beliefs, completely erasing an accurate Ancient Greece and actual Greek people and culture from the narrative. There's a reason why when discussing the casting of Helen in Christopher Nolan's The Odyssey, they only show pictures of blonde, blue-eyed, Germanic, or Anglo-Saxon women, and never actresses who are actually Greek or of Greek descent. Just like how a black woman playing Helen is an issue to them, a Greek woman playing Helen is also an issue to them.
Since the very beginning of the concept of whiteness, beginning in the 19th century, white supremacists have excluded Greek people from whiteness, like they did for other ethnicities that you may now consider white, such as the Irish and Italians. Whiteness did not exist before the 19th century. When whiteness was conceptualized, it was purposefully created to not just view people native to the Americas, Africa, Asia, and Oceania as lesser than, but to also view other Europeans as lesser than.
Even if Greeks are viewed as white today, white supremacists still won't accept them because their culture does not fit into their vision of whiteness, and they don't accept them as descendants of the Ancient Greeks because they think it is impossible for them to be related to a past where they've inserted their perfect image of white society onto.