Great question, CASABROKER.
I ran a Dunlop SP Winter Sport 3D Run On Flat on the late, great 'wing and it was fantastic.
Can be seen here. It would fit the Valkyrie, but would raise the rpm:speed too much for me.
If the question is based on symmetrical tread pattern, the answer is an almost universal yes. However, one of the things I've noticed about many winter tires, when the information is shared, is the hardness of the compound (represented by the UTQG number). The lower the number, the softer the compound. Depending on where you live, the riding conditions you face, and your riding style, a higher UTQG number may be just fine, but most seem to lean toward a softer compound to maintain as much grip as possible. You'll already save money and extend the miles per tire. My recommendation is to get the softest compound.