If the card is being bundled with your home loan, check with the bank to see if they will do a separate credit check on you, or if the card is simply part of your loan package. If it's the later, then sure why not... just do it.... afterall.. it's "free"

You can also try your luck with changing your card from the normal Gold FF card to the standard ANZ GOLD card which has free intl travel insurance, roadside assistance etc..

anz have been very good to me with being able to combine credit, change cards etc etc... ................... if you want to get really tricky and they let you do the card change.. you could get a cash advance for the same amount as your cc limit, BALANCE transfer that amount to a NON-ANZ credit card, then BLANACE transfer that back to your new anz card @ their lowest interest rate (from a non-anz card) which I believe is 3.99% for 6 months ... depending on your credit line this could save you a few bucks!

Re: the ANZ FF card: I cancelled mine in may due to the poor points ratio and have not looked back since!