You think so? I have my doubts, especially if you put it on the rear end.
You could gamble, it does make a difference though. Front or rear won't make a positive difference unless the car has a limited slip differential, then you will want to run the different sized tire on the open differential.
The binding occurs in the center differential. The binding creates excess heat, excess heat expands metal parts, this creates accelerated wear or catastrophic failure. Speaking of catastrophic failure, 2-3 years ago my center differential seized and locked while travelling 70km on east 49th in traffic. Your tires suddenly lock up with zero warning causing the vehicle to skid almost uncontrollably either into an oncoming car or into the curb or parked car, it's also a really good way to get rear ended. I was lucky and managed to slide the car to the curb.
I have have tried the different sized tires on a awd subaru legacy, the difference was noticeable by me, which means the car was really feeling it. Tried it on a 4x4 subaru (not awd). In 4x4 it was extremely unhappy, even in a straight line. My friends had an awd astrovan for around town, it had a small difference between rear tires vs fronts and the center differential is destroyed after a couple years of that.