I fully understand the strategy of paying your payments a month later to save the interest charges. In your example though that is only $8000 and it is a one time thing. You can't count it every month because at the end of the month you have to pay your credit card bill from your AIO account and start again.
Being generous, keeping $8000 in your AIO account saves you $280 in interest every year on the AIO 3.5% rate. Having your whole mortgage on a 2.5% rate saves you $5000 a year on a $500000 mortgage. To make up for the poor interest rate you would need to have a monthly expenses of $142000 before you break even.
The amount to make up for a bad interest rate is staggering.
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