You don't get rich by saving at maximum a few hundred euros/dollars per month.
$200 a month tossed in a decent investment over a typical working life will yield something like $200,000 by late middle age. That can be the difference between near-destitution and reasonable comfort in retirement.
I had out-of-control spending until I did a detailed audit of my finances 5-ish years ago and I changed my lifestyle in lots of ways: cheaper car, very few restaurants, cheap vacations, cheap hobby, cheap mortgage... it literally has saved me about $1700 per month (yes, literally... I earn a good amount so I had lifestyle creep!). This savings promptly goes into an investment account. That amount over 20 years could become $775,000 if invested!