New input system triggers started when pressing AND releasing the trigger

Hi! I've been trying to implement the new input system, but the started phase is triggered not only when I press the trigger but also when I release it. It works fine with the mouse left click and with another generic controller I have which has a button trigger (it just returns a value of 0 or 1). However, with the PS4 controller that has a gradual trigger, the input system triggers started when releasing too unless I release it really fast. I'd say it isn't controller's fault, because it works fine in other games, its values when releasing are ok (I've checked it in a web), and I've tried two different PS4 controllers. This is my code:

 public void Fire(InputAction.CallbackContext context)
 {
     if (context.started)
     {
         weapon.GetComponent<WeaponControl>().StartFiring();
     }
     else if(context.canceled)
     {
         weapon.GetComponent<WeaponControl>().StopFiring();
     }

     print("Fire triggered. Phase : " + context.phase);
 }

When I press and release the mouse, these are the messages I get on the console:

FireTriggered. Phase : Started

FireTriggered. Phase : Performed

FireTriggered. Phase : Canceled

And these are the messages I get when pressing the PS4 controller trigger:

FireTriggered. Phase : Started

FireTriggered. Phase : Performed

FireTriggered. Phase : Canceled

FireTriggered. Phase : Started

FireTriggered. Phase : Canceled

These are my project settings (although I've changed them multiple times and none of the configurations worked):

Default Button Press Point: 0.75

Button Release Threshold : 0.5

I have no interctions or processors in my input map.