Ok, so myself and some other order pilots are out in delta today and a bounty hunter tells a corsair to leave the system because he fled or was killed in an engagement before we got there.
Now, the corsair in question claimed that omicron delta was corsair space, and because he was still within his ZOI that he did not have to obey the four hour rule.
I'm almost 100% certain that is false, and even if you get killed in your faction's home system you still have to leave for 4 hours - or until the enemy you engaged leaves or is killed.
Here's some screens of the conversation, names of the people in question are blanked out (The names blanked out in black are the player who won the prior engagement, those in green are the one who lost/fled):
So was I correct? It doesnt matter what system it is or what faction you are, if you are not a trader/smuggler you need to leave for 4 hours after fleeing or dying in a pvp engagement?