This is my experience, as observed by most above:

LH: Always offered warmed nuts with pre main meal service drink.
Japan: Always offered the Japanese rice cracker snack mix pre meal service.
SH: Not offered nuts proactively.

Interestingly, though: When on a SH if I indicated that I will not eat to SP/FP/BC, either before hand (when menus are given out) or when the trolly rolls by, I am offered nuts from trolly with my drink.