### Apache Airflow version

2.2.3rc1 (release candidate)

### What happened

I ran a DAG that does nothing explicitly with context, so I'm surprised to see deprecation warnings about context being used (trimmed to cut down on noise):

```
baseoperator.py:1107 DeprecationWarning: Accessing 'execution_date' from the template is deprecated and will be removed in a future version. Please use 'data_interval_start' or 'logical_date' instead.
baseoperator.py:1107 DeprecationWarning: Accessing 'next_ds' from the template is deprecated and will be removed in a future version. Please use '{{ data_interval_end | ds }}' instead.
baseoperator.py:1107 DeprecationWarning: Accessing 'next_ds_nodash' from the template is deprecated and will be removed in a future version. Please use '{{ data_interval_end | ds_nodash }}' instead.
baseoperator.py:1107 DeprecationWarning: Accessing 'next_execution_date' from the template is deprecated and will be removed in a future version. Please use 'data_interval_end' instead.
baseoperator.py:1107 DeprecationWarning: Accessing 'prev_ds' from the template is deprecated and will be removed in a future version.
baseoperator.py:1107 DeprecationWarning: Accessing 'prev_ds_nodash' from the template is deprecated and will be removed in a future version.
baseoperator.py:1107 DeprecationWarning: Accessing 'prev_execution_date' from the template is deprecated and will be removed in a future version.
baseoperator.py:1107 DeprecationWarning: Accessing 'prev_execution_date_success' from the template is deprecated and will be removed in a future version. Please use 'prev_data_interval_start_success' instead.
baseoperator.py:1107 DeprecationWarning: Accessing 'tomorrow_ds' from the template is deprecated and will be removed in a future version.
baseoperator.py:1107 DeprecationWarning: Accessing 'tomorrow_ds_nodash' from the template is deprecated and will be removed in a future version.
baseoperator.py:1107 DeprecationWarning: Accessing 'yesterday_ds' from the template is deprecated and will be removed in a future version.
baseoperator.py:1107 DeprecationWarning: Accessing 'yesterday_ds_nodash' from the template is deprecated and will be removed in a future version.
```

### What you expected to happen

I'd only expect to see deprecation warnings about things my DAG is actually interacting with.

### How to reproduce

Run this DAG:

```python
from datetime import datetime

from airflow import DAG
from airflow.operators.bash import BashOperator

with DAG(
    dag_id="no-context", schedule_interval=None, start_date=datetime(2021, 12, 10)
) as dag:
    BashOperator(task_id="sleep", bash_command="echo 'Hello!'")
```

Note: I also tried a TaskFlow DAG and that wasn't impacted.

### Operating System

MacOS 11.6

### Versions of Apache Airflow Providers

_No response_

### Deployment

Virtualenv installation

### Deployment details

_No response_

### Anything else

This was introduced in #19886 (cc @uranusjr).

### Are you willing to submit PR?

- [ ] Yes I am willing to submit a PR!

### Code of Conduct

- [X] I agree to follow this project's [Code of Conduct](https://github.com/apache/airflow/blob/main/CODE_OF_CONDUCT.md)

tests/models/test_taskinstance.py
"executor_config": {"Some": {"extra": "information"}},
            "external_executor_id": "some_executor_id",
            "trigger_timeout": None,
            "trigger_id": None,
            "next_kwargs": None,
            "next_method": None,
        }
        
        expected_keys = {f"task_instance.{key.lstrip('_')}" for key in expected_values.keys()}
        assert {str(c) for c in TI.__table__.columns} == expected_keys, (
            "Please add all non-foreign values of TaskInstance to this list. "
            "This prevents refresh_from_db() from missing a field."
        )
        ti = create_task_instance(task_id=expected_values['task_id'], dag_id=expected_values['dag_id'])
        for key, expected_value in expected_values.items():
            setattr(ti, key, expected_value)
        with create_session() as session:
            session.merge(ti)
            session.commit()
        mock_task = mock.MagicMock()
        mock_task.task_id = expected_values["task_id"]
        mock_task.dag_id = expected_values["dag_id"]
        ti = TI(task=mock_task, run_id="test")
        ti.refresh_from_db()
        for key, expected_value in expected_values.items():
            assert hasattr(ti, key), f"Key {key} is missing in the TaskInstance."
            assert (
                getattr(ti, key) == expected_value
            ), f"Key: {key} had different values. Make sure it loads it in the refresh refresh_from_db()"
    def test_operator_field_with_serialization(self, create_task_instance):