InputSystem Messages, need help understanding?

Unity Engine
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1

EDIT: I fixed it, but still like to know how the messages work.

I have a third person camera and want to move my character relative to the camera.
When the camera rotates, the character moves into the direction the camera looks.

After I replaced InputGetAxis with Input Messages the direction doesn’t change when rotating the camera. The character changes the direction only when I press another key or release it and press again.

It feels like the function is being called with the same “values” (old camera transform) until the InputValue changes.

What am I missing here?

I replaced this (called within Update):

private void HandleCharacterMovement()
 {
    Vector2 inputDirection = new Vector2(Input.GetAxisRaw("Horizontal"), Input.GetAxisRaw("Vertical"));

    Vector3 forward = _camera.transform.forward;
    forward.y = 0f;
    forward.Normalize();

    Vector3 right = _camera.transform.right;
    right.y = 0f;
    right.Normalize();

    Vector3 movementDirection = forward * inputDirection.y + right * inputDirection.x;
    character.SetMovementDirection(movementDirection);
}

With this (called by input system message):

 public void OnMove(InputValue value)
{
   HandleCharacterMovement(value.Get<Vector2>());    
}

private void HandleCharacterMovement(Vector2 inputDirection)
{
    Vector3 forward = _camera.transform.forward;
    forward.y = 0f;
    forward.Normalize();

    Vector3 right = _camera.transform.right;
    right.y = 0f;
    right.Normalize();

    Vector3 movementDirection = forward * inputDirection.y + right * inputDirection.x;
    character.SetMovementDirection(movementDirection);
}

EDIT: Fixed:

private Vector2 _inputDirection;

public void OnMove(InputValue value)
{
     _inputDirection =value.Get<Vector2>();    
}

private void HandleCharacterMovement()
{
    Vector3 forward = _camera.transform.forward;
    forward.y = 0f;
    forward.Normalize();

     Vector3 right = _camera.transform.right;
     right.y = 0f;
     right.Normalize();

     Vector3 movementDirection = forward * _inputDirection.y + right * _inputDirection.x;
     character.SetMovementDirection(movementDirection);
}