Normally, it does. It is when, why, and the way it is used that makes the difference.
In the case of the GFC, the banks were largely on their knees. They had burned through their capital ratios and hand nothing left in the banl (a capital ration is the ratio of cash and cash like securities held compared with loan and other exposures on the books - more or less). There was a cred crunch at the time, which meant the money wasn't flowing between the banks. Banks need money to survive and the money markets help the banks manage their cash flows amongst other things.
So, banks were burning though their cash at an alarming rate and a few did fold.
So, QE was used to purchase government debt (and some high grade commercial debt) from the banks. The money to the government had already been lent, and the money provided to the banks helped them stabilise their balance sheets not increased their lending capacity. I think the RBA went one further and slowily cancelled the federal government debt that it purchased, but don't quote me on that.
Because the banks needed the cash to stabolise the system, while money was added to the money supply through quantiative easing, nothing was really done with it that created a credit multiplying effect. However, it only lasts a certain time before it does create a credit multiplier effect (a lot longer in this case than many economists projected). Part of this is because the divisions of the banks that were the beneficiaries of QE by selling their government debt in the open market were parts of the banks that don't really lend to individuals nor small/medium business enterprises. It is usually very large corporate grade stuff and mostly government lending. This meant the government had a ready supply of cash available, partly to cover the cost of the bank bailouts (I know Australia didn't have them), but also to lond to those where eother the spend budget is already known (government) or where they will invest rather than consume.
But, as you could see, time eventually runs out oin that space as well, and the dollar devalued (which is what happens with inflation).