After viewing a video, I'm concerned about speed. How fast will the turret spin? More important, how long will the four signals from the turret to the PLC representing the tool holder position be maintained.
For example when the turret is at position 1, how long will the signal on pin 1 be on? When the turret is at position 2, how long will the signals at pins 1 and 2 be on? When the turret is between positions 1 and 2, how long will all four signals be off?
The Click PLC may not be fast enough for this application.
In addition, have you verified that the CNC control that you're actually using sends those signals? My concern is your statement that the CNC controller "can't handle the tool changer". To me that implies the tool changer is an optional feature of the controller. It seems to me that the turret position request signals are an integral part of the tool changer option. So, without the tool changer option, does the controller really send a turret position request? I have to admit I know nothing about the details of the CNC controllers for Hardinge lathes and the options that may be available.
Edit: You replied while I was composing this response.