This appears to be a task to generate a patch for the Django repository, but the Django repository is not present in the current working directory. Based on the problem statement and hints, I need to generate a patch for the `django/db/models/sql/compiler.py` file.

The issue is that when using `order_by("record__root_id")` on a self-referencing foreign key, Django incorrectly:
1. Adds an unnecessary extra JOIN
2. Uses the default ordering from the related model's Meta class (DESC) instead of the explicit ordering

The fix, as suggested in the hints, is to change `name` to `pieces[-1]` in the condition check on line 727. This is because:
- `name` is the full path like `record__root_id`
- `pieces[-1]` is just the last part `root_id`
- `field.attname` is `root_id`

The comparison should be against `pieces[-1]` (the actual field name being accessed) rather than `name` (the full path).

Here's the patch:

--- a/django/db/models/sql/compiler.py
+++ b/django/db/models/sql/compiler.py
@@ -724,7 +724,7 @@ class SQLCompiler:
             # If we get to this point and the field is a relation to another model,
             # append the default ordering for that model unless it is the pk
             # shortcut or the attribute name of the field that is specified.
-            if field.is_relation and opts.ordering and getattr(field, 'attname', None) != name and name != 'pk':
+            if field.is_relation and opts.ordering and getattr(field, 'attname', None) != pieces[-1] and name != 'pk':
                 # Firstly, avoid infinite loops.
                 already_seen = already_seen or set()
                 join_tuple = tuple(getattr(self.query.alias_map[j], 'join_cols', None) for j in joins)