As the author of the cited paper, I feel that I have to clarify a few issues here:
As well as Opera and Firefox, GOOGLE CHROME ALSO "suffers" from the ability to host data URIs. It just distrusts being redirected to one. IE (it is said) has a size limit to data URIs of 32 KB. However, in my tests, a ~26 KB URI was tried, unsuccessfully.
The data URI phishing pages can be made in many ways, differing in how they use other data. One can make a true offline (or local) version of a web page if all linked content on the page is contained in the "root page" through yet another data URI.
If the data URI web pages are presented on a computer running a related trojan program, this program may handle the communication of the "secret information" (credit card #, passwords, etc.). This can be done P2P (as in botnets) thus no need for server infrastructure.
Another issue I'm discussing in my paper (http://klevjers.com/papers/phishing.pdf) is that of ownership to the data URI contents. I feel TinyURL unwittingly takes ownership of whatever content that is hosted there, as they store the entire (phishing) web page on their servers.