Yes, various engines exhibit distinct input delays.
Yes, various engines exhibit distinct input delays.
Various game engines might exhibit distinct input delay characteristics due to their unique programming. Yes, different video game engines can indeed have varying input delays.
It's feasible. The source engine is often cited as the most problematic in this regard. Even with very high frame rates, their titles may seem sluggish unless you're at over 200 frames per second.
Comparing OpenGL, DirectX 11, DirectX 12 and Vulkan highlights their differences in graphics APIs and performance capabilities.