The carving of Arceus doesn't change in any literal way as they negotiate their blasphemous loot division, but there is a heavy sense of disapproval in the air. Nothing happens when they lay their hands on their prizes, though. In fact, for about four entire seconds, it seems as though that's all there is to it. Free stuff! Expensive stuff! And it's not even cursed!

Then the chamber seals shut once more with them inside, and the three of them will be able to hear the distant groans and creaks and clicks of puzzles resetting all throughout the temple. Worse still, the solutions they'd worked so hard for are now changing.

And no, attempting to place the offerings back on the altar does not open the door.

Perhaps.... someone on the outside can help you out?