Did you look at the photo's in the teusink blog? From my quick look neither of the two circuit boards shown looked like yours, and theirs had a sensible marking on the IC.
Now this isn't to say it isn't but the next step for you was to hit google for 'CYRF89103 data sheet' and see if the first couple of pages show a chip pinout. Then look to see if it bears any resemblance to what you have on the board (number of pins, markings, antenna, battery connections, the test points they used). If you have then would be the time to post saying what your detective work had found, or at least a link to the data sheet. The fact it's got a NRF marking on it would be odd on a Cypress part, unless you can find something in the Cypress data sheet showing that it's a date code or something.
This is your project, not ours so checking if your board and a blog post's are identical, similar or completely different is your job.
End Rant
Looking at the board and the layout I'm suspecting they are from the same design team. The blog post is from 2010, they don't show the underside of the board but I think yours has a 2013 date on it (when did you buy it?) tech components have a life of 6-12 months in many cases so the parts used in 2010 will no longer be available for a designer to use unless they pay a premium. Instead they progress through similar parts that are better and cheaper. And just may have the same interface if you are lucky.
So you do in fact have test pads on your board. The question is, do they line up in anyway with the ones in the blog? Their technique may work but unless you can confirm the IC really is related to a CYRF then there will be some random poking to do before you start. SPI has two pins (clock and data) so if you are ordering a logic analyzer then it would be possible to find if they exist by trial and error. See:
https://en.wikipedia.org/wiki/Serial_Peripheral_Interface_Bus
All of this will be much easier if you do in fact have the same PCB as the one they used, or at least a set of pads that appear to be connected in the same pattern, since while the boards change a lot they don't change the test jigs if they can help it, so those test points may in fact do the same thing just for new hardware.
Re wireshark. It's a complex tool that among other fun things allows filtering of MAC addresses. If you have used it before and know what you are doing then it would be a fast way to sort the semirandom spew the nRF hack will produce. If you haven't used it before then it'd be perfectly possible to dump the data into excel or something instead and sift it by hand. Takes longer, but skips learning a whole new tool for a single job.
Depends on what skills you already have, and which ones you want to learn.
Edit re SPI - has four or more wires, but if it's a debug interface you'd be probing just for clock and data out to monitor what it's up to.