Isn't that mostly
American culture rather than Western one? "Western culture" is a huge generalization, like "Asian culture" would (what would that even mean? Japan, China, India, Israel? All of them are Asian countries).
You won't find many traces of Finnish or Austrian culture on an Indian TV channel.
Most European cultures are fairly regionally limited and, in some cases, threatened with extinction (see: Lusatian Sorbs [0]). Indeed there is some resentment in Europe against American commercial culture squeezing out and killing off old local traditions.
For a bit of a fun, last Christmas the Czech Army produced a video of shooting down intruding Santa, as we have a different traditional figure bearing gifts to children. [1]
[0] https://en.wikipedia.org/wiki/Sorbs
[1] https://www.youtube.com/watch?v=X0TgUsUfaVE
I think you underestimate the diversity of the Old Continent. Small places like The Isle of Man, Basque Country, Flanders or Malta have their own unique culture that cannot be simply classified as a generic "white European" thing.
This isn't even a category we tend to think in, this is a very American take on things. We consider ourselves Czechs, Poles, Kashubians, Danes, Lithuanians ... not "white Europeans".