I have no experience or familiarity with the Boardman bike, but I ride a CD0.1 and have friends with the illicito. The geometry is the same for the CD0.1 and the illicito and I love how it rides. It is the only tri bike I have ridden that I enjoy riding almost as much as my Ti road bike. All my friends except 1 with the illicito have been very happy with their bikes. A this point, the only way you are getting me off my CD0.1 is by putting me on QR's new PR bike.
Guess I'll add that what I like about the QR is that it seems to climb very well, doesn't descend badly, is comfortable even after 100+ miles, tracks in a straight line well, and feels stiff enough that it accelerates in a sprint well. It seems that at least to my back/spine they got the vertical compliance right for comfort but have it stiff in the other directions so the power transfer is still there. Also, the seat post has lots of adjustability for fit, cable routing was easy, the front end is easy to work on (no propietary headset/stem etc), and unlike many people complain about, both brakes work well enough for me to lock up the wheels if I grab too hard. They can be a little difficult to reach to work on and you have to pay close attention to the cable routing when you set them up, but not really difficult. I'd go so far as to insult some people and say that the brake set up is simple enough that if you can't get the illicito/CD0.1 brakes set up correctly, maybe you should leave the work on such a safety critical component as brakes
on any bike to a professional who knows what she/he is doing and if your mechanic can't set them up, then find a new shop.
Here is a good review of the illicito's sister bike
http://www.thetrishop.com/blog/qr-cd-0-1-tri-bike-in-review-solid-novel-and-quirky/
Tim Anderson
"It's the nature of the internets that you get some dweeb who knows nothing about (insert topic here) pontificates about (topic), believing that his/her opinion is worth the same as opinions from those who actually knows what's going on." --Echappist