There appears to be a difference to what might be the expected behavior, and the actual behavior, of changing the Observing Location in WorldWide Telescope.
You might expect that by changing the viewing location to Timbuktu that Observing Times, and rise, transit and set times, are then presented in local time. They are not.
The actual behavior is that WorldWide Telescope is reading your system clock. So to get correct local times you need to close WorldWide Telescope, change the time zone you are in to the time zone of the new locale, restart WorldWide Telescope, then set the new observing location. In the tests I have done this seems to give rise, transit and set times consistent with those published elsewhere on the internet.
It is stretching it a bit to call this a "feature" - given the rest of your applications are now working on Timbuktu time. However it is a workaround until we address whether a fix is required.