Voyager, May I suggest that you take a look at the directional arrows on the side walls of the Avon TrailRider and TrekRider dual-sport tires and look at the tread vee directions. I have Not seen either of these sets in-person, but I've got a pretty good idea as to which way Avon marked them for rotation and which way I would mount them even if there were No Arrows.
,/\, down on the Front tire, as viewed from the front of the bike. ,/\, down on the Rear tire, as viewed from the Back of the bike.
I've read about tire directional arrows since the mid-1970's. And I have drawn these conclusions.
Most true Off-Road tires are uni-directional. So they can be reversed by those of us on shorter budgets, twice if desired.
Most Automotive tires are uni-directional, got to be, to be used left or right / front or rear / rear wheel drive or front wheel drive.
Truely high-end asphalt sport or racing tires may have an issue with tread splice direction. (NOTE, neither they nor I suggested carcass splice!)
But I will suggest that any tire that one may mount on a sub-50 horsepower KLR650 will not sustain any carcass or tread separation issues even if one chooses to mount the tread pattern in the Reverse Direction of the tire companies arrow.