Hi there Team America,
There is one thing you have to understand here, Sporeans want absolute control over your life, they really think they own you just because they have given you a job.
I have never seen in Scoot such roster that would allow for some days off in a row as to go home, even if home is Oz. We had some guys that wanted that very same type of roster you are talking about to go to Bangkok (only 2 hours away and plenty of flights between SIN and BKK) and in fact were promised such rosters.... never happened.
Is Scoot's policy (this is inherited from SQ) that whenever you want to leave Singapore on your days off you have to notify the company, that gives you an idea of the kind of control freaks you are dealing with.
Don't know where you heard about that rumor, if it was told to you by Scoot's HR during the interview don't believe, they are simply lying in order to get you to commit to their cause. Do your self and your wallet a favor and avoid that outfit at all cost, you will be happier and richer.