Not quite sure what the question is here.
If you still have vignetting or circular gradients of some kind after calibration then your calibration frames do not work, simple as that.
Usual suspects for failed flat frames are things like an insufficient focuser that sags under gravity, a wobbly tube (such as an OOUK VX aluminium tube) that buckles under gravity, a reflector with mirror cell stability/flop issues, or a reflector that is not sufficiently flocked to deter internal reflections. Light leaks thru the gaps in the focuser or the back of the scope are another flat-ruiner for newtonians. With refractors most of the above is a non issue, but focuser sag can still ruin flats.
Yuxuan:
I was only thinking about removal of vignetting for long focal length shots, for which light pollution does not cause any recognizable gradients.
Not really true, there will be a gradient in any image that is pointed to a non uniformly lit part of the sky. Which is basically everywhere on earth except under perfect wilderness darkness to the zenith. Maybe that last part was just a guess, but the spot i use sometimes goes down to SQM 21.3 and there is still a gradient even to the zenith with an image as small as 20x20 arc minutes so lets call it an educated guess.
So to answer your initial question about what the effectiveness of calibration frames should be: They should work perfectly, and if they dont then you have to work on your kit to make it so.