The camp's patrols let them through without questions when they saw the scout team leading Karl's white cloaked menagerie toward the base. The first thought of everyone that they passed was that this was an extreme Church Guard unit, thanks to their bright white outer layer, which they had pilfered from the Frost Giants to blend in with the snow.
But once they saw who was underneath, they were simply confused. Those didn't look like church guards, and the rest of their armour wasn't covered in white. Nor did they have any sort of church insignia on them, except for the two Clerics, one in green and one in red, under their white cloaks.