Perhaps people don't consider their savings as an account that can be touched?
Obviously there's those ones that you pay in a certain amount each year tax free, and if you take out from that, you can't put it back 2 months later without using up tax free allowance.
I find myself in a position where I do actually have a healthy amount of savings, but when I consider day to day spending, I don't feel I have that much to use, and a big expense could set us back and borrow on credit cards etc, even if it's the stupid way to do it, the savings are similar to say a stock, on that you could sell it and have instant money, but you consider it gone until it will be used for it's intended use, e.g a holiday/wedding/paying off mortgage early etc.
Sounds stupid, but I just wonder if that's messing up the figures. Credit card spending is borrowing after all. If we had to buy a new washing machine (not that I'd buy brand new), but they can go for £500 plus, tumbles the same, any white good in fact, you may borrow to buy that.
Also the key word from the report is the word 'beleive'.
People believing something doesn't make it true