OK. This is how it works on the RainbowAstro mount (Korea also does not use DST):
With the default GPS in the hand controller of the mount, the UTC time is spot on (because of GPS), and the UTC Offset that is shown in the hand controller is set to the same UTC offset whether it is Summer or Winter.
As a result, the Local Time that is displayed in the hand controller is off from my computer's clock by 1 hour in Summer. I.e., it is as if DST is turned off.
Since UTC is correct, the Local Sidereal Time (LST) that is shown in the hand controller is correct and not dependent on the seasons, and so is the Longitude that GPS has obtained, and those (and the Julian Date, JD) are all that matters to obtain LST for astronomical navigation.
Local Time is for peasants and their wrist watches to time their lunches and dinners. Local Sidereal Time is used to time when a star transits your local Meridian.
If the hand controller shows the correct Local Sidereal Time after ASIAIR has sync'ed to the mount, then you should be fine. If not, and ASIAIR is pushing the wrong time to your mount, and overriding your mount's UTC, use some other software than ASIAIR (you may eventually will anyway, once you find other shortfalls of the ASIAIR).
Chen
