Never really thought about THAT exact scenario before, but IMO it certainly could affect parking brake operation, as the weight of the mighty Cummins would unload the rear wheels a bit and there would be less ground contact and less friction between the rear tires and the ground.
…here is MY experience with the same sort of phenomenae under slightly different and slightly more complex circumstances--
In the middle of a fairly large and extensive utility undergroiundign project I was doing, my little Kubota tarctor/backhoe broke down, so I had to rent another tractor that turned out to be a slightly larger JD unit. WHile I was unloading the rental from my flat bed trailer, there came a time when the weight of the heavier tractor picked UP the front of the trailer enough for the rear wheels of the truck to loosen their set traction on the slightly inclined gravel driveway I had parked on….needless to say, even though I has thoughtfully set the parking brake and left the the truck in gear with no weight on the rear wheels, the ENTIRE truck AND trailer AND tractor AND me still on it started drifting down the driveway!!! Fortunately I quickly realized what was happening and drove the tractor forward again which set the rear wheels of the truck back in firm contact with the ground and we came to a gentle stop within a few feet , though it felt like MUCH more…but in short, could have gotten REALLY wild really fast without some quick thinking!!! Needless to say, very soon after I had some trailer jacks welded onto the rear of the trailer frame so that I could load or unload anything on the trailer simply by FIRST lowering the jacks which prevented anything on the trailer from cantilevering the rear of the truck off the ground!!!