So after all I called them, and they answered: “And how would we stick the chukka without cream cheese, hah?” In addition, one of the rolls was covered with cream cheese of animal origin, but there was no cheese on the menu as part of this roll! You won't see it right away, because on top of the roll was a bunch of chukka. As a result, Origami delivered me rolls stained with real fish caviar! Apparently, they were preparing non-vegan rolls with caviar on the table nearby.
I ordered two types of rolls marked as vegetarian on the menu, but they are completely vegan in composition.