The Irish discourse in race nu-uh ism. Like yeah, white people did some shit to the Irish. But then the Irish got upgraded to White status. The exact boundary of what we consider 'white' has changed and imposing it retroactively on historical figures and trying to imagine a unified 'white culture' of the pre-colonial world is silly.
Like if you want to be proud of your euro heritage, great, get some flags and learn to cook your favorite old country dish. But if you conceptualize it as this grand unified 'white heritage', we can see the klan hood.