" it's also pretty obvious to me considering Patton's well-documented personality, that any logistical supply less than 100% of what he desired would be taken as a personal insult, whether that was the intention or not."
Largely, it was.
The flip side of that coin was that Montgomery felt exactly the same way.
Both agitated to be the leader of the primary drive in Europe. Eisenhower, in part to keep both men under control, adopted the broad front war strategy.
The one time that he allowed a narrow front strategy, Market Garden, Montgomery's Plan, it was a major disaster. It resulted in the loss of many thousands of troops (the British paratroop corps was particularly badly mauled) and took supplies away from other fronts where operations against the Germans were going well, forcing a stand down.
The flip side of that, Montgomery was right to propose a Market Garden-style operation. Had it succeeded, it likely would have shortened the war by several months at least in that it would have forced the Germans out of the low Countries and back across the Rhine and it would have liberated the major Dutch deep-water ports, which the Allies desperately needed.
At the time of the Battle of the Bulge the negative impact to supplies on the Allied center and right still had not been completely rectfied, which only intensified problems early in the battle. The 101st Airborne, 82nd Airborne, and 10th Armor going into the Bastogne region did so with insufficient supplies of just about everying. For the 101st that was partly because they were in rear area resting, but also because the supply situation hadn't sorted itself out.
I think it's very telling, though, that when, during the Ardennes offensive, Patton said that he could turn his Army on its axis and attack at roughly a 90 degree angle from its previous axis, just about everyone, Montgomery included (and very vociferously) claimed that it simply could not be done and that anyone who said it could be was a fool.
It should also be noted that of all the Allied Generals, the Germans feared Patton the most. In Europe he was, by far, the most successful Allied ground commander in the West, far more successful than Montgomery or Bradley.