HID тоже пропускает такое событие.

Чуть не в тему. Можно ли данную строку воспроизвести с помощью MouseMove или чего-то из инструментария AutoHotKey?

DllCall("mouse_event",uint,1,int,x,int,y,uint,0,int,0)

OnExit, Exit
hHookMouse := DllCall("SetWindowsHookEx"
   , Int, WH_MOUSE_LL := 14
   , Int, RegisterCallback("LowLevelMouseProc", "Fast")
   , Ptr, DllCall("GetModuleHandle", UInt, 0, Ptr)
   , UInt, 0, Ptr)
Return

Exit:
    DllCall("UnhookWindowsHookEx", Ptr, hHookMouse)
    ExitApp

LowLevelMouseProc(nCode, wParam, lParam)
{
   static msg, mouse_x, mouse_y, ext, time, injected, LOWER_IL_INJECTED
      , oMsg := { 0x200: "WM_MOUSEMOVE"
                , 0x201: "WM_LBUTTONDOWN", 0x202: "WM_LBUTTONUP"
                , 0x204: "WM_RBUTTONDOWN", 0x205: "WM_RBUTTONUP"
                , 0x207: "WM_MBUTTONDOWN", 0x208: "WM_MBUTTONUP"
                , 0x20B: "WM_XBUTTONDOWN", 0x20C: "WM_XBUTTONUP"
                , 0x20A: "WM_MOUSEWHEEL" , 0x20E: "WM_MOUSEHWHEEL" }
                
      , oMouseData := { 0: "0", 1: "XBUTTON1", 2: "XBUTTON2"
                      , 120: "WHEEL_DELTA forward", -120: "WHEEL_DELTA backward" }

   msg := wParam
   mouse_x := NumGet(lParam + 0, "Int")
   mouse_y := NumGet(lParam + 4, "Int")
   ext     := NumGet(lParam + 10, "Short")
   injected:= NumGet(lParam + 12, "Char") & 1
   LOWER_IL_INJECTED := NumGet(lParam + 12, "Char") >> 1
   time    := NumGet(lParam + 16, "UInt")
   
   SetTimer, EventHandling, -10
   Return DllCall("CallNextHookEx", Ptr, 0, Int, nCode, UInt, wParam, UInt, lParam)

EventHandling:
   ToolTip, % "Message = "     . oMsg[msg]
            . "`nMouse_X = "   . mouse_x
            . "`nMouse_Y = "   . mouse_y
            . "`nMouseData = " . oMouseData[ext]
            . "`ninjected = "  . injected
            . "`nLOWER_IL_INJECTED = " . LOWER_IL_INJECTED
            . "`nTime = "      . time
   Return
}

Esc::ExitApp