If the authorities are out to get you, they can just block your bank accounts in such countries and you are only left with your eyes to cry. Cashless societies take power away from individuals.
Does not see any reference to carrying more than 1000 dollars in the linked article. Note that you are allowed to travel to the USA with up to 10 000 USD in cash on you without declaring it, so if carrying more than 1000 USD was an issue they would put a hard limit on 1000 USD, not 10,000.