[5.1.x] Fixed #35554, Refs #35060 -- Corrected deprecated *args parsing in Model.save()/asave().

The transitional logic added to deprecate the usage of *args for
Model.save()/asave() introduced two issues that this branch fixes:
 * Passing extra positional arguments no longer raised TypeError.
 * Passing a positional but empty update_fields would save all fields.

Co-authored-by: Natalia <124304+nessita@users.noreply.github.com>

Backport of 28522c3c8d from main.

tests/update_only_fields/tests.py

@@ -1,5 +1,6 @@
 from django.db.models.signals import post_save, pre_save
 from django.test import TestCase
+from django.utils.deprecation import RemovedInDjango60Warning
 
 from .models import Account, Employee, Person, Profile, ProxyEmployee
 
@@ -256,6 +257,29 @@ class UpdateOnlyFieldsTests(TestCase):
         pre_save.disconnect(pre_save_receiver)
         post_save.disconnect(post_save_receiver)
 
+    def test_empty_update_fields_positional_save(self):
+        s = Person.objects.create(name="Sara", gender="F")
+
+        msg = "Passing positional arguments to save() is deprecated"
+        with (
+            self.assertWarnsMessage(RemovedInDjango60Warning, msg),
+            self.assertNumQueries(0),
+        ):
+            s.save(False, False, None, [])
+
+    async def test_empty_update_fields_positional_asave(self):
+        s = await Person.objects.acreate(name="Sara", gender="F")
+        # Workaround for a lack of async assertNumQueries.
+        s.name = "Other"
+
+        msg = "Passing positional arguments to asave() is deprecated"
+        with self.assertWarnsMessage(RemovedInDjango60Warning, msg):
+            await s.asave(False, False, None, [])
+
+        # No save occurred for an empty update_fields.
+        await s.arefresh_from_db()
+        self.assertEqual(s.name, "Sara")
+
     def test_num_queries_inheritance(self):
         s = Employee.objects.create(name="Sara", gender="F")
         s.employee_num = 1