Robert, this is how Canon and Sigma gets away with keeping the cost down in these zooms down, the lens Iris control is in your Canon 400D, which sets the f/stop in the lens, and if it is a smaller stop than the min. f/stop in the range, the camera will lock on to the f/5.6 you set, and keep it there while you zoom. The camera body and lens are working together to prevent additional ramping up. On non-Canon cameras, like the BM Ursa Mini, this feature is not available, after all, Canon wants you to use this lens on a Canon camera! The new Canon EZ Cine zoom is setup the same way, Iris control is done in (Canon) camera.
Canon does not share this info on lens control, so companies like BM have to set this up by reverse engineering, and getting this level,of Iris control is not worth the extra cost for the few lenses that need this feature.
I had the same experience with a Four Thirds Panny/Leica zoom, that was a /2.8/3.5 14-50 zoom, I got to use on my AF100 for interview shooting and doing green screen (chroma key) PSAs. I would set the lens at f/4.0 on the AF 100 (not with the Iris ring on the lens) and the lens would stay at f/4.0 during a zoom change. When I put this lens on the Micro Cinema camera (both using the same Panny MFT adapter), the Micro (and the same on the Pocket), would ramp up the f/stop during a zoom change, regardless of the f/stop setting in the f/4 to f/11 range.
Apparently, the AF100 (like Canon DSLRs) was locking the lens f/stop setting, opening the Iris during the zoom to a longer focal length, to keep it set at the camera f/stop setting. I have not tried using this lens on the Micro in "auto Iris" mode, think I will give this a try, and see if the camera can hold the f/stop in this mode (camera set Iris based on shutter setting and light hitting the sensor, to keep a constant exposure).
BM cameras do not do this -- After all, BM expects you to use professional Cine Zoom lenses with a fixed max f/stop.
Edit: I checked the Panny/Leica zoom with the Micro camera set on auto Iris, and it still ramped one f/stop during a full zoom from 14mm to 50mm. It stayed at f/3.5 for a partial zoom to around 35mm before changing to f/4 and then /4.5, on an evenly lit wet grass field subject.
Cheers