If you teleport the ender crystal, nothing will appear at the destination. However, if you hit it with a snowball or arrow, it will explode.
At the source, the ender crystal appears to be in the same state as before the move. However, snowballs will pass through and when the player hits it, it will explode.
Both explosions occur at the destination. Therefore, when the player hits the ender crystal at the source, the destination, which is empty, appears to explode.