For the past decade, saving money would get you nowhere. It might change now as long as interest rates stay where they are at but if you started savings by putting little by little of your extra funds In a savings account, most of that money would of evaporated due to inflation.
This is why most wealthy people aren’t affected by inflation because they own assets like stocks, real estate, gold, bitcoin, etc.
This goes to say that saving will not get us wealthy but investing is. Although we don't really aim to be financially wealthy but at least we can secure and enjoy our future retirement and we can leave some inheritance into our offspring. That's exactly the reason why we don't just need to focus on enjoying the present life, but we should also learn to navigate our future as well.