TV2 aired a few episodes live, but only because of how they were scheduling the show made the extended live specials a nightmare for them. From my memory, yeah it was the BB02 double eviction and the finale. I think the same happened for BB03, but the finale was definitely live too.
Generally, the Daily Shows aired 6:30PM-7PM. On Eviction/Nominations nights, the show aired 6PM-7PM - but they would intermittently either completely skip the Daily Show that aired the day prior in Australia, or edit it down to only be ten minutes long then remove footage from the eviction/nominations show so that it would air from 6:10PM to 7PM.
Since double evictions and the finales made editing them down impossible, they would air it live at 9:30PM and pre-empt their usual shows for the week.