Can cutting expenses and saving make us rich

Our economy has made us believe so much in savings to the extent that people believe you can actually save and become wealthy in life.
This video is just all about my point of view about the topic " can savings make us rich" considering so many factors I don't believe it can.
Factors which includes the rate at which money lose value with time and the best way we can save our money is to put it in banks in one way or the other we are automatically enriched the bank at the expense of our money.
The last factor to be considered is unforseen circumstances that may warrant us to spend our savings.