Whether you agree with that or not is one thing, but I'm not sure why you're ignoring it.
White people, at least in America, aren't a group with shared culture. The only thing that really unites them is the color of their skin. White people also tend to have an actual ancestral culture they identify with highly-- usually the culture of a European country their predecessors emigrated from. And as far as I know the vast majority of them don't want to identify as 'white', as they value their ancestral culture more.
[0]: https://archive.ph/aqpJM,
Archive since they've merged the ratings for clarification, but haven't actually changed their minds.
We don't have a "White History Month" because white history is the default in the US. In a sense every month is a white history month here. Note that we do have months for some subsets of white, e.g., Irish-American Heritage Month (March).
Same for why we have LGBT Pride month but no straight pride month. Straight is the default.