AWD drive is affected negatively when one set of wheels/tires OD is larger/smaller than the other set. A tire with a few millimeters of tread difference isn't going to affect AWD systems; but it could give wonky handling characteristics, depending on how much more worn one tire is from the other(s). Personally, I won't mix and match tires just to save money; not on this car.
(I did that a lot when I was raising a family and was stretching every dollar; but none of them handled worth a damn anyway and I always drove with a lot of respect for the low grade feel of the things. My worst infraction was coming back from Maryland to Utah, and the spare tire that I had put on the RR blew on the freeway between Des Moines and Omaha; I'm sure it was because of mismatched tread pattern causing overheating; anyway, the "new" spare that I had went on, and as soon as we reached Omaha I got four matched Michelins: the first set of four brand new tires I had ever bought, and high grade to boot: my word, was I impressed with the difference: the handling, the smoothness, the quietude: I had never experienced it: our 15 passenger Club Wagon was like a different vehicle: it felt brand new. And from that time forth, I never bought used tires again. Learning curve stuff.

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