A document written by the hackers has clarified what they did and what privacy and security risks they believe the PlayStation 3 poses. The PS3's connection to PSN is protected by SSL. As is common to SSL implementations, the identity of the remote server is verified using a list of certificates stored on each PS3.
The credit card and other information is sent over this SSL connection. So far so good; this is all safe, and your web browser depends on the same mechanisms for online purchases.

The concern raised by the hackers is that custom firmwares could subvert this system. A custom firmware can include custom certificates in its trusted list. It can also use custom DNS servers. This raises the prospect of a malicious entity operating his own proxies to snaffle sensitive data. He would distribute a custom firmware that had a certificate corresponding to his proxy, and that used a DNS server that directed PSN connections to the proxy. His proxy would decrypt the data sent to it, and then re-encrypt it and forward it to the real PSN servers.