So weirdly enough it IS Windows driver but before I uninstalled it for the first time, there was some upgraded version which allowed to me to calibrate the L/R presses.
Original one I had
Current one
And I have no clue where to get the original one again.
Also these are not how exactly they look for me but it should give you the idea, the bottom one has Rx, Ry next to the left and right joystick which is for the L/R analog presses but unlike the main stick and c-stick it can't be calibrated in the Calibration tab.