They always turn towards the R, when you take them, and when you place them 😵💫
Hiromi 25 and I agree that it would be nicer to turn them the other way when putting them back
It's ashes to ashes: Take the R, then turn it to the R (making the bottom side, which rested on the 炉壇, face up, and place the L piece on it.
When putting it back, turn the whole stack, then R, then turn L and place L