None of this helps the average worker who keeps his savings in a bank account which pays well below the rate of inflation.
The number of bitcoins is capped at a distant future date; but in the present, it continually increases. This is similar to how a curved Earth can appear to be locally flat. For now and for many years to come, the supply of bitcoins does inflate constantly.
Inflation is a measure on prices, not money supply. Bitcoin’s money supply is increasing. It is, on average, deflationary.
Risk free savings used to be much easier when the dollar couldn't be freely printed. Sure, there were times of moderate deflation and moderate inflation, but overall the average was 0. Furthermore, labor was able to consistently achieve wage gains. Those days ended in the 70s (and is evidence by the famous wage-vs-productivity charts). Also, you're conveniently ignoring the fact that fiat currency has made it possible for governments to print money to pay for war instead of needing to levy a tax on its citizens (something which would frequently be met with protest).
There, that's two examples.
My savings are in MMAs, CDs and Treasuries. These earn interest and, on average, track inflation. Savings and investments shouldn’t be conflated; neither should saving and hoarding cash.