No, it generally doesn't help with quarantine. However, having said that, sometimes the following have happened (in Sydney):
1. Used the machine/eye scanner and with no immigration mark on the card, the quarantine guy didn't know what to do and the quarantine person had to explain it and let me straight thru without the palaver (happened a few times)
2. Sydney sort of has a FF quarantine lane (at the far left in T1 C) which is sometimes helpful but often just as crowded as they often just send people anywhere in the chaos that it all is often, but does sometimes help and the APEC card at least can show you travel for business.
3. I have (more than) occasionally made it clear that I do this (leave and enter the country) almost weekly, only have the carry on bags and wask why don't they have some facility to help us, and they usually kinly let me through.
Having said that I am always honest about declaring or not if I have something e.g. I did declare the dates from Al Ain and the carvings from Accra last time, and they still helped me through quarantine quickly (at 6.30am) just as it was getting busy. Some times though they can be pretty "bloody minded" about it and there is nothing but agony as I wait behind 10 jumbo loads of luggage and failures to declare, all of which are handled one at a time. It's not the policy, which I support, but the implementation that needs work!