It is true that there have been stolen & printed more false $ than there are $xvg around. Still you can buy Some things with $.
What would a dollar be worth in euro if it was never compromised.
By the way you can fill in about any fiat for dollar and euro.
Stolen money don't affect the value of it,
Person A lost 50$, Person B received 50$. Theft only affects one person/group.
Printing false fiat would create inflation which would affect everyone, but then there're systems in place that detect false money and they won't be accepted in most places, especially not in banks.
Well US is printing dollars for nothing and then exporting the inflation all over the world because of petrodollar and dollar being the main reserve currency