Tyres do make a difference.
I used to work for a Ford dealership. we had a customer who had two Mavericks (Nissan Patrol), they constantly complained that one of them had less power when pulling a large boat, on it's trailer (just in case anyone wanted to suggest that would make a difference). It also used more fuel, both diesels. Several tests were done but nothing could be found, one day I serviced one of them next day I serviced the other, HAD IT.
Told the boss I had the answer, one had a wide wheel pack.
Got them both in next day, swapped the wheels over, I drove the 'slow one', the boss followed in the 'quick one', the slow one ran away, wider, thus larger as well was over gearing the vehicle.
We had a side by side example of what happens wit a larger tyre on the vehicle, theorise all you like.
Mike