Add more test cases for SuccessCriteriaMet

Cleanup error messages in the new code

Add validation for the Job controller fields

test/integration/job/job_test.go

@@ -2262,16 +2262,14 @@ func TestManagedBy_UsingReservedJobFinalizers(t *testing.T) {
 		t.Fatalf("Error %v when marking the %q pod as succeeded", err, klog.KObj(podObj))
 	}
 
-	// Mark the job as finished so that the built-in controller receives the
+	// Trigger termination for the Job so that the built-in controller receives the
 	// UpdateJob event in reaction to each it would remove the pod's finalizer,
 	// if not for the custom managedBy field.
 	jobObj.Status.Conditions = append(jobObj.Status.Conditions, batchv1.JobCondition{
-		Type:   batchv1.JobComplete,
+		Type:   batchv1.JobSuccessCriteriaMet,
 		Status: v1.ConditionTrue,
 	})
 	jobObj.Status.StartTime = ptr.To(metav1.Now())
-	jobObj.Status.CompletionTime = ptr.To(metav1.Now())
-
 	if jobObj, err = clientSet.BatchV1().Jobs(jobObj.Namespace).UpdateStatus(ctx, jobObj, metav1.UpdateOptions{}); err != nil {
 		t.Fatalf("Error %v when updating the job as finished %v", err, klog.KObj(jobObj))
 	}