Savings cards I wouldn't touch with a bargepole; I don't imagine anyone who gives two hoots about privacy would.
Now, if you want to be paranoid, what you could do is purchase bitcoin, toss them through a tumbler, then purchase a prepaid debit card to use.
A lot of extra work compared to just using cash, but if societies want to go cashless, there are ways to be anonymous. Whether it should be that hard is up for debate.
Making it inconvenient can be an issue enough.
The Chinese firewall isn't about making it impossible to go to western sites. It's about making it inconvenient, so that most people use Chinese alternatives.
> "Happy Birthday, Alice! Here's $100"
vs.
> "Happy Birthday, Alice! Here's a check for $100. Now, you can't use that right away. You need to take it to the bank and they'll turn it into a card you can use when shopping."
Also, when I was growing up, actually /seeing/ the money helped me appreciate it's value. I knew to be careful with spending because I could see how much I had (physically). My younger brother: "Can I get Overwatch? It's only $60!"