I just picked up a wagon with different wheel sizes front to rear. Fronts are 235/65/15 and rears 235/75/15. I'm planning on getting a new set of all seasons for the wagon (Nokian WRG3s) which will all be the same size but I had some concerns about the current setup.
I know the viscous coupling essentially is "speed sensing" rather than "torque sensing" and works to equalize the axle speeds between the front and rear. In RWD, the different front to rear won't be a problem because only one set of wheels is being driven. In AWD, my rears will always be "slower" than the fronts (assuming good traction).
So thinking about it, giving more power to the slower (rear) wheels under that circumstance isn't really a problem because I've got good traction anyway. In low traction situations, if my rears the the ones slipping, I'd get even more power to the rear, so still ok. But if the fronts are slipping, then the wheel speeds start to equalize, I have less difference between the front and rear, so get closer to balanced power delivery front to rear - less goes to my rear (which has traction) and more to front. This is the normal behavior, except in normal conditions, my fronts would have more power. So worst case is likely when both wheels are slipping. Then I still have the rear biased power delivery.
So, after thinking this out, it seems the biggest impact my current setup has in AWD is that my power will be rear biased by the difference in front/rear speeds (7%). Given the weight balance, most of the time, it probably actually is a good thing. But I will have reduced front power delivery when the fronts are slipping and worst case behavior when both sets of fronts and rears are slipping. Make sense?