The RFID chip has no power source. It relies on the energy of the signal received to echo a reply. It's supposed to have a very short range, but experts say range is all about the quality/sensitivity of the receiving antenna trying to scan the card.
Supposedly those card protectors are good enough. Acting like a Faraday cage to block/reflect the incoming signal. It'd be interesting to know what it takes to overcome that level of protection.
FWIW, a person involved in national security issues told me flat out that the US currency can be scanned and identified for tracking purposes. So, while cash is somewhat anonymous, if someone in government wants you tracked, they could use the money in your wallet using some very common equipment already in place.