It is not because the entity issuing the dollar (America) grows and produces stuff. Ponzi schemes are money laundering schemes. These are entirely different.
You cannot make up an arbitrary metric and try to compare them.
No, that's like saying "bank-robberies are drug-smuggling."
A Ponzi scheme involves investors being defrauded by someone lying about the status of assets and money flows.
It does not automatically imply any kind of money laundering, and in fact it can operate just fine even when every single scent being invested is from entirely clean sources.
In contrast, a Ponzi scheme can operate just fine with 100% clean investment money coming in some unsuspecting victims, and the (smaller) amounts flowing back as dividends would also be clean.
But good on you for really getting your definitions down I'm sure you're super fascinating at parties.