This is an interesting case.
Because the dark frames were captured at -25 °C and the light frames at -30 °C, I performed the calibration of the light frames with dark frame optimization, i.e ImageCalibration with MasterDark and MasterBias (in the Master Dark section: both options 'Calibrate' and 'Optimize' enabled). Nevertheless the calibrated light frames were severely clipped. So I applied an output pedestal (100, 150 and 200). An output pedestal of 150 does not last to avoid the clipping of the calibrated light frames.
Whereas the individual calibrated files look passable when calibrated with a pedestal of 200, this doesn't seem to solve the underlying problem. After registration and integration, the result is not correct with ImageIntegration's default setting 'Subtract Pedestals' enabled. However, when this setting is disabled, strongly varying results regarding pixel rejection are obtained, depending on the used value of the output pedestal. This doesn't seem reasonable at all.
Particularly strange is that the mean or median value of the uncalibrated light frames are quite different: it looks like the bias offset (which seems reasonable in image 1) is decreasing from image to image. This effect is especially pronounced from image 1 to 2, see appended plot. I guess this is the real problem. I tried to circumvent this effect by adding the difference median(light frame 1) - median(current light frame) to each uncalibrated light frame in PixelMath. Then these "corrected" light frames were calibrated as above with an output pedestal of 100. The result is shown in the appended screen section.
For me it looks as if the bias offset of this camera (a FLI MicroLine ML16200) is not stable. However, there could be a different cause, what about RBI (anti-ghosting) technology? I don't know a lot about this topic, perhaps other users of a similar camera can chime in.
Rob's notes are to be considered as well, the most important question probably is whether dark and light frames were captured with the same acquisition software (and the same settings except the differing temperature).
Bernd