http://www.worldtimeserver.com/current_time_in_JP.aspx
So then you're saying it's a misnomer. While you could say Lucky Star airs "Sunday night," it is technically already Monday by the 00:30 airtime.
I understand there's a ten-hour difference if you travel west from USA to Japan, but you also cross the international date line going west.
As of my post, it is 14:14 Sunday afternoon in Japan.