For the game engine? Probably. In general having a better Vulkan renderer will result in better performance and correctness on all platforms. A few optimization

For the game engine? Probably. In general having a better Vulkan renderer will result in better performance and correctness on all platforms. A few optimizations may be targeting the platform's strengths but I would expect the vast majority of engine improvements to be cross-platform. For the Vulkan implementation? Probably not. IIUC Android uses a different driver stack than GNU/Linux. Only the very core layers are shared. But indirectly more game engines supporting Vulkan will raise interest in progressing and optimizing Vulkan, so there will probably be indirect effects.