Am I correct that the OEM Michelins can run in one direction (for example clockwise on the psgr side) but when rotated to the other side there is no tread or structural damage caused by now running in a counter-clockwise direction?

Does this now mean we cannot put directional tires on because at some point, if one rotates them, they will now be pointing rearwards? Will one get more benefit from directional tires but trade them off for the inability to rotate?