I wouldn’t at all say stomped. In fact he was not defeated, merely not able to further advance due to the logistics.
Logistically, beginning the overland journey from Boston to Quebec City in September was a dumb idea to begin with, but Arnold then lost the part of his army that hadn’t died from disease or exposure in his attack on the city itself. The city was held with the loss of only 5 of its defenders. Arnold should get credit, however, for having his men going into the attack on Dec 31st knowing that their enlistment was up the following day…