HOW DOES HAVING MISMATCH'D TIRES DAMAGE A/T + TRANSFER CASE ON 4X4?

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THE DEALER TOLD ME THE MISMATCHED TIRES (2 5/32 AND 2 BRANDNEW 16/32)IS RESPONSIBLE FOR THE PREMATURE FAILURE OF THE TRANSMISSION THAT WAS REPLACED IN 2006 JUST BEFORE 100K MILES. I FEEL LIKE THE TIRE DEALER SHOULD NOT HAVE DISCOUNTED MY CONCERNS ABOUT WHAT MY MANUAL SAID ABOUT MISMATCHED TIRES ON A 4X4 VEHICLE.