The usage of "let alone"

"Let alone" is an idiom, so it's usage is governed by more than its definition. It connects two things, one of which is a subset or requisite of the other. For instance, said of someone who just suffered a terrible injury, "He'll never walk again, let alone dance." Or, if you were terribly tired, you might say, "I don't think I can stay awake through the next commercial break, let alone for the rest of this program."

Because "Asian countries" is not a subset of "Western society," your use of the term misses the mark. Your tutor's example is closer. However, "let alone" is always used in conjunction with some kind of negation: don't, can't, won't, etc. "I don't have the patience to care for a puppy, let alone a baby." Or, "I wouldn't be interested in being your boyfriend, let alone your husband."

I think there's too much business in the specification to make good use of let alone. When one gets to the let alone focus, one has to go back and reparse "level of publicity of shame notions at different levels" to figure out what it is, and whether one believes it's higher or lower in N. America. That wastes the benefit of the construction.

You can probly get more ideas from this paper by Fillmore, Kay, and O'Connor, "Regularity and Idiomaticity in Grammatical Constructions: The Case of Let Alone", Language, Vol 64, No 3 (1988:501-38).