You can toggle Async Compute on and off in Ashes of the Singularity with the "AsyncComputeOff" flag in the Settings Initialization file. Over the last couple of weeks I have worked through both AMD and Intel CPUs toggling Asynch Compute on and off with both AMD and NVIDIA video cards. The fact is that even on the highest end of the performance spectrum, the biggest frames per second increase we saw was 3 frames per second; from 90.5 to 93.3...a whopping 3% increase, which I would suggest is within our margin of error. That said, I was able to reproduce that increase consistently, so I would suggest that the increase is "real" even inside our MoE. Generally though, we would see gains of less than 1 frame per second when toggling between Async on and Async off.
It would seem to me that while AotS is being held up as the go-to Async Compute game, it is far from it.
http://www.hardocp.com/article/2016/04/13/dx11_vs_dx12_amd_cpu_scaling_gaming_framerate/5#.VyNtCY-cGUk