If you set the time zone in the settings, it will show whatever time zone you chose.
On my account, local timing is always shown when I log in. Many posts and threads I read in SM are posted at 3 AM - 4 AM - 5 AM (local time) when people are supposed to be sleeping where I'm physically in. If I didn't know much about the actual time difference, I would think that many members here don't sleep at all :HistericalSmiley:
However, when I log out of my account, all timings change than the local time.