The stock Dunlops are the 900s are bias-ply. You can determine this from the tire size. For instance, the rear tire size is 180/70-15. You might also see 180/70B15 on other brands. The presence of the hyphen or "B" before the wheel size denotes it is bias ply. A radial would be 180/70R15.
In the automotive industry, radials handle and ride better and last significantly longer than bias ply tires. However, bias construction adds rigidity to the sidewall which makes them ideal for load-carrying applications (trailers, etc). Bias construction also lends itself toward very narrow section widths which are arched (like motorcycle tires).
My experience with motorcycle tires is pretty limited, but the radial Dunlop Elite IIIs on my XR lasted 15,000 miles...where the rear Dunlop D404 on my 900 lasted 7000 and the front was lookin a bit raggedy around 9k.
2011 Victory Cross Roads, crimson red
"There is only one God, and His name is Death. And there is only one thing we say to Death: 'not today.'"