I used to ride Michelin Pro3 Race tires and those were bidirectional, but they don’t have any tread at all (from what I recall… it’s been a number of years since I switched). I’m sure that you can run the Contis in either direction, but they do have a tread, so I wonder if there is an impact on the rolling resistance. And yes, there is the whole OCD thing of “it’s backwards!”