Has anyone gotten grief having dealer work done on the rear diff shutter (clutch pack), while having non-stock tires?

Want to be prepared when I go in this week. Thanks-

 

*bump*

Before this one goes into oblivion unanswered, does anyone have any feedback on it please? TIA

 

I have 315/70-17s on mine and I had to take the truck in for regular service. I asked them about the clunk I kept getting and they blamed the tires saying that they were makeing the truck work too hard. I have since changed dealers and get no grief. So the only advice is to just go try, it's all dependant on them.