The goods transported by the major nobles were indeed strategic materials for the front line. But a significant proportion of the strategic materials guarded by Hudson's army were private goods.
All were strategic goods, mixed together, and the people below had no idea that their guarded goods also included the personal goods of the commander-in-chief.
Even if an accident happened on the road, the materials permanently lost were always the strategic goods of the allied forces, not his personal goods.
To the outside world watching strategic goods coming in and out, it's only natural to suspect that Hudson is selling military supplies. Being reported is also normal.
Unfortunately, the supplies in the Allied warehouse that Hudson was in charge of always matched the books. Even if there were discrepancies, the errors were within normal limits.