I guess you mean South Asia (which really just means India) and not SEA.
I can’t speak for India but e-commerce in SEA is like it is everywhere else.
Also, it’s very doubtful that people shopping at NY boutiques at a premium would not be comfortable with English and that ‘native language’ would be worth the effort.
I live in SEA and when I want to shop — provided I’m too lazy to drive 5 miles to a JV, Polo, Fendi, Prada, Hermes, etc boutique — I can order from a local boutique / brand online.
No one I know cares enough about boutiques in other countries to pay a premium, risk sizing issues. Generally people affluent enough to try to keep pace with trends in other markets travel enough to shop in them in person.
Did you just make that up?