I've just wandered inside and outside, with video on A35, and afaict shutter and aperture are adjusted automatically. afaict Video exposure matches AUTO photo exposure.
What makes you think aperture is fixed at f3.5 for video?
It is fixed for autofocus.
If you put the camera in manual focus and use the P setting it will adjust shutter speed and aperture for the exposure.
As soon as you use AF, then it's fixed to f3.5, even in really dim light, or really bright light.
I can understand that at a certain point the AF won't have enough light to work, but I don't understand why it's fixed at f3.5. With faster lenses you can't use AF take advantage of the lens speed, and I can't see why the AF won't work at f5.6 also.
It's just a strange oddity that Sony have for some reason. Same as the video crop (even with electronic steady shot off) you get a 1.8x crop
Considering Sony should have tons of video experience, they seem to have come up with a half baked solution. The lack of audio gain control another limitation.