Both cameras showed Pixel vignetting when attached to the scope. However, unlike the Raspberry Pi camera module, the vignetting was not a reverse vignetting, as can be seen in the two flat-fields made by stacking 50 flat-field frames.
Sweex camera
Sweex colour flatfield
Sweex mono flatfield obtained by mapping YUV to greyscale
It can be seen that the vignetting is classical in that the centre of the image is bright whilst the outer regions are darker; unlike the Raspberry Pi camera module which showed reversed vignetting.
Uncorrected colour image (stack of 50 frames)
Corrected colour image
Uncorrected monochrome image
Corrected monochrome image
Logitech camera
Logitech colour flatfield
Uncorrected image
Corrected image
Tests of lunar and planetary images will be carried out when data can be collected. Meanwhile, simple flat-field correction looks very promising for the use of these CMOS, HD web cameras with small sensors, as solar system imagers.
The difference between the nature of the vignetting produced by a Raspberry Pi camera module and a different webcam such as the Sweex and Logitech devices tested here, when placed at the focus of a telescope is interesting. It can be speculated that in addition to microlens displacement, the Pi camera module has a processing correction in firmware. Either way, the flat-field correction makes these cameras usable for Lunar imaging, and possibly planetary and solar imaging.
AstroDMx Capture for Linux has real-time flat-field correction, which makes viewing and outreach use of these cameras a possibility.