According to Beebhack the BBC's iPlayer provides Flash streams in "standard quality" using On2's VP6 codec. As with iView this causes very high CPU usage on my PC. In contrast, their "high quality" stream uses H.264, and in full-screen mode this only requires 30% of my CPU. That's an amazing improvement that I attribute without foundation to Flash 10's use of GPU hardware to accelerate the video decoding.
I haven't seen many complaints of this nature about iView, but anecdotally I know that it doesn't stress other PCs as much. My guess is that the chosen codec is not well optimised for the Athlon. Fortunately, the ABC have stated that they will be switching to H.264 as soon as they can, so I assume that I'll get much improvement when that happens.