Design decisions for software should take the interface into consideration. That said, I do think ring menu systems can work on PC and mobile. Some mobile apps have a context menu triggered by a long press, I could see a ring-type menu working there. As for PC, I'm not aware of that many examples, but the pop up palette in Krita is one example that could be easily adapted to be closer to a SoM/SoE-style ring menu.
