Ask HN: Mouse Cursor Dynamics

How is the motion of the cursor calculated on various operating systems (are different X window managers different)? I'm curious how the original Alto dealt with the mouse movements compared to the Lisa, Macintosh System 6, macOS Sierra, Windows or Plan 9's rio. What is the difference in acceleration, etc.?

Also, is there any impact caused by using a third-party mouse? Would an Apple mouse provide different dynamics than a Logitech (accounting for the differences in the hardware of the two devices)? One step further, if there's a difference between first– and third–party mice, are there differences among third–party mice?—i.e., does the manufacturer matter at all or are the cursor dynamics all calculated by the operating system—e.g., would a Logitech mouse connected to a MacBook behave the same as a Microsoft mouse (or an Apple mouse) would behave from a cursor movement dynamics perspective? If so, what calculations determine the result? If not, what are the differing algorithms?

Has anyone done a study to determine what dynamic users prefer and/or are most efficient at using?