What does that mean? When I'm overseas and I go to a "Western" supermarket that has western goods/brands that are very atypical to that in local supermarkets, the locals that shop there I am absolutely sure, don't feel they are being "culturally intrusive". The supermarket is there to SELL... They don't give a rats ass who comes in to make a purchase and I, as a western visitor, also did not see it as "cultural intrusion" when locals shop in these western supermarkets. The idea never entered my mind.
I like H Mart, by the way and I like the Japanese supers too.