If you work for your money you're not rich. You are rich if your money works for you.
> Having substantially more money than you need
They DO need the money, they do not have $500,000 cash they have $20,000 per year. If they are in a terrible car accident and they have to spend $200k on medical bills their entire life falls apart because having only $300k does not support their needed returns, replace that with any scenario that can cause unexpected costs. That to me isn't rich.
If I could pay for that kind of guaranteed-for-life coverage in the U.S., with $0 deductibles, $0 co-pays, no maximums, no reimbursement paperwork, no excluded conditions, etc., for only 15% of my income, I'd gladly do so. In California, I spent around 7-8% just on my comparatively shitty health insurance + out-of-pocket, which had several exclusions and no guarantee I'd be able to renew at a similar rate if I got sick. So I consider the Danish offer a real deal. Even more so if your medical history has any major blemish on it, in which case U.S. premiums skyrocket to much higher than 15% of a typical salary.
The problem is that we get our health care through health insurance companies.
Of course, if you're stuck in bonds and savings accounts then inflation (including exchange-rate related inflation) is, in fact, robbing you. Way to stick it to the retirees, Bernanke! :P
Pitching this as something that will make you rich creates terrible expectations of what the plan actually is.