First of all I want to say that saving money and saving bitcoins are not the same thing. Two different things. People save money to keep their money safe and use that money in the future but people buy bitcoins for profit.
Most people around the world now save money, with a small number of people buying bitcoins. After buying Bitcoin with your own money, when that Bitcoin is left in the wallet, you can gain from that Bitcoin and lose from that Bitcoin, that is, it is a completely risky matter. But there is no such risk in saving money. If you deposit money in your account, that money is safe and there is no possibility of it decreasing even if the amount of money increases, that's why people consider it more safe to deposit money from Bitcoin.
The amount on the account will not change, but inflation will make it so that for the same money, after some time you will be able to buy less than you could do it. Look at the current inflation rate published by the government and you can be sure that real inflation will be even higher.
And bitcoin is able to protect your money from inflation in the long run. Bitcoin will rise in price and it will also bring you profit, and the money that is in the account will not bring you anything, no profit.