Synergy types of applications don't have that freedom because the host mouse cursor don't extend to the other devices display.
I don't think the difference between the two is all that strange. One sets the position of the cursor, the other interacts with the system like a normal mouse. The mouse and the cursor are separate things, and they're handled at different levels in the API stack, like XSendEvent and sending data to libinput.
https://www.kernel.org/doc/html/latest/input/event-codes.htm...
This is very straightforward (EV_REL) and requires a very small amount of code. There can be different problems to deal with when working at this level, but in my experience, everything works as expected with keyboards, mice, and gamepads.
Both approaches are reasonable and both are implemented in desktop operating systems for this reason.
Also, mouse_event is just a wrapper around what's basically SendInput(mouse)
Applications might react differently to input events generated by these APIs. For example, in Windows 11's display settings, the position of screens can not be dragged if input events are coming from SetCursorPos, but works fine if using SendInput. Microsoft's own PowerToys uses a mixture of both under certain (complex) conditions, but I never found out the actual difference between them.
I was writing an application that sends mouse input from a Linux machine to a Windows one (similar to Synergy), and I originally received mouse movement events that are accelerated (with user or system-defined acceleration factors), and I found out that there are no Windows API (three of them) that accepts relative movements without further acceleration (i.e. Windows will always apply further acceleration, making the mouse hard to use). I ended up directly hook into evdev to get raw mouse movements and let Windows accelerate them.
[1] https://learn.microsoft.com/en-us/windows/win32/api/winuser/... [2] https://learn.microsoft.com/en-us/windows/win32/api/winuser/... [3] https://learn.microsoft.com/en-us/windows/win32/api/winuser/...