Watch some videos of top-ranking aim trainer players so see how high the human skill ceiling is for mouse control, and look at the hardware they're using.
(also are you suggesting becoming a e-sports tier performer to be... fast in executing actions on your computer? Think about how absurd it sounds. Mouse clicking on UI elements requires visual feedback and a lot more conscious effort where keyboard is just muscle memory and is vastly simpler for most discrete actions, except for a few scenarios, while being blazingly fast. Yes I'm more than aware what aim trainers are, and high-end mice are not more special than high-end keyboards. Aim trainers have completely different constraints and requirements than UIs.)
As an example of a compromise you could make, in many games, mouse acceleration has higher skill ceiling than linear mouse control. But mouse acceleration it's harder to learn, and the possible performance improvement is only small. I disable mouse acceleration myself because I'm not aiming to win tournaments. IMO, linear mouse control should be the default.
And I do not experience any conscious effort when using a mouse. My subjective experience is I look at a target and the cursor appears there automatically. The better the hardware you're using the easier it is to achieve this.