Except these performance gains most likely would of been seen on a 32 bit version of the chip.
It's interesting to see how much marketing is put around 32 vs 64 bit chips and the effect it has on how people market. The biggest benefit is the ability to access more than 4GB of memory. For reference, the iPhone 5S has 1GB of memory. Eliminating the need for PAE and other expensive workarounds is definitely a bug plus. i64 and cheap doubles are certainly a bonus too.
I suspect the primary reason for moving to 64 bit is not for performance gains now, but for future compatibility. Eventually, the iPhone 5S will be the oldest supported iPhone and running a 64 bit processor will reduce maintenance costs of needing to maintain a 32 and 64 bit line of software.
I think this would be a much more informative article if the author had interviewed a few experts to discuss the benefits of 64 bits over 32 bits rather than just say they go faster which at this point is debatable.