No wallet gives interest in stores bitcoins whereas of someone deposited a certain amount of money in a bank under fixed deopsit or similar scheme he is basically earning on his money that is residing safely in the account. You gotta invest or use those bitcoins in some scheme to earn more. Although bitcoins are more prone to get lost due to scams that are a major nuisance for even the most careful of bitcoiners. Hence banks...
I totally disagree to your words. The interests from the banks is just an game. The value of money depriciates everyday not because it's in limited amount but beacause the value of money is regulated by the banks as it prints money out of thin air. The banks don't have the real gold backed currency and when there is crisis it can never pay back to every person so, bitcoin wallets are safer.