Uhhh, the 'burn up' due to changing one tire on an AWD vehicle refers to the transfercase/ transmission going out which DOES happen, whether or not your salesperson/tech/whatever was smart enough or experienced enough to speak correctly when getting pressured by a lawyer or an angry husband type doesn't matter; changing ONE tire on an AWD car (or not regularly maintaining/rotating tires) can and will result in premature wear (chevrolet has a TSB that states it takes 1/16" difference in diameter to cause premature wear) of your drivetrain. I have personally changed out transmissions on a few different make AWD cars/SUVs due to mismatched tires (one had 3 different make tires in use) I also have talked to techs at Jasper transmissions (the shop I worked at used them for a while) and they agreed with the narrative the OEMs use too.
Read some of this unscrupulous lying BS
Do You Need to Replace All 4 Tires on Your AWD Vehicle? - Les Schwab Tire Centers explains a little bit more