I am going to try to do this from a political theory perspective and attempt to cut the generalizing of a group as much as possible i.e. No "It's bad because Nazi's did it" it's true and a sore point but not a contemporary argument nor is blaming a concept for who is practicing it. What is important is the impact and results, which personally tend to be gross disenfranchisement and dehumanization which can lead to great atrocities if pushed too far WW2 and The Middle East are great examples. This goes for all forms of ethnocentric nationalism, even Africa has had it's share of genocides over this
Albeit generalizing political theory tends to get more criticism than just individual bias so yeah I'll make a chat and place it below for arguments and amend my answer after debate or arguments if you are unhappy with the categorization.
Now having braced myself for the coming storm
White Nationalism in Western Culture is the people in power saying they want to stay in power over those with less power. As such it can be seen that the bourgeoisie is stating that they do not want to let go of power and implies potential harm for those not White in the White Nation. Where as other ethnocentric forms of nationalism are then seen as Equalist movements to balance the roles of power and revolting against the oppressors, see Malcom X for instance. Marx himself did not particularly care about Nationalism in general though just so that Inter-Nationalism could bring down Captialism as such a perspective on class struggles should be able to better explain this point
Libertarian L1, a bit complicated
Left leaning Libertarians tend to feel that nationalism is a bi-product of groups however ethnocentric nationalism may imply potential harm placing undo stress unto the other groups though that would be further left Libertarians with the more center left would just say it is fine so long as it is not violating Nonaggression principle
Right leaning Libertarians may argue that nationalism has no place in a free society as all have the right of movement, but would ignore it should it arise as again Nonaggression principle
Centrist would see that social equality is balanced and to such extent would find White Nationalism unappealing and wrong as it puts one man on top of another due to simple birth factors.
Fascist - Tends to be called Extreme Nationalism
Government mandated law on what it considers worthwhile people in the government. What constitutes "worthwhile" is up to the ruling party, as such could be viewed as good could be viewed as gulag worthy. At it's roots though it is bred from the concept of Nationalism.
Socialistic tend to share a Marxist PoV just with less of an oomph and more economic freedom for the individual. Though a gross over simplification like most things here all I can say is... see Marxism
Please note in many ideologies all forms of ethnocentric nationalism are looked down upon. Just because a media organization is saying something does not make it the primary standpoint of an ideology. Media loves ratings and shocking concepts generate ratings