Unless they're white, at which point they get shunned if they even try to embrace that part of their identity.
If a black man says he's proud to be black, that's perfectly fine. If a white man says he's proud to be white, people think "what's wrong with being any other skin color?"
White people do get to embrace their identity, but how it's how they do it that matters.
"White pride", for better or worse, is closely linked to "white supremacy."
That is different than, https://stuffwhitepeoplelike.com/ which embraces and celebrates "white" culture, without demonizing other cultures.
Seriously? Have you read it at all?
How would you celebrate white culture?
Stuff White People Like describes what is specifically the culture of coastal urban white hipsters, which is a relatively small subset of white people in the US. It's really inaccurate to think of those traits as "white culture" period. And I'd call what SWPL does with its subject matter less "celebration" than "savage excoriation". Maybe the people it describes don't take it so; I don't know. I've never yet knowingly run into anyone who took it any other way.
Things like what you link seem to get a pass because it's somewhat satirical in nature.
Because the native ethnic cultures, and tribal ties were destroyed by years of slavery, the United States is one of the few places which has a culture for 'blacks' that's uniquely different from anything of a specific tribe.
Being from a W. African country, I'm keenly aware that we do not celebrate 'Africanism', or even nationalism in any respect despite the government's best efforts to get us to do so. Everyone is broadly aware of their family, their tribe, and their choice religion/philosophy.
With respect to white culture, I think it must be hard to celebrate it in isolation. Almost anything that you would want to celebrate, could be given to a specific nation (thus be patriotic, not race pride), or given to a specific European ethnicity (e.g. most foods, older music, and the like).
Oh yes, that's a good point. In Europe, Germans celebrate German culture, Frenchmen celebrate French culture, etc. Culture is not considered to be the same thing as skin color.
Or in other words, already celebrated everyday here in America.
Or when you were in grade school, did you only learn about ["black","asian","latino"] authors, musicians, scholars, scientists, inventors, actors, etc etc?
The same applies to the Aboriginal people who have been here for thousands and thousands of years, before my ancestors invaded under a false pretense and treated them like garbage.
However, those were my ancestors. Each generation is progressively less racist than the one before, and we're just as Australian as each other.
The issue is not one of national identity but one of racial and cultural identity. Realistically, it's something that white people will have to put up with and understand as we're still in the long hangover of our more racist years. However, at some point our children (or our children's children) are going to ask why it's it's socially fine to embrace other races and cultures when it's shunned to embrace their own for reasons that are totally out of their control.