### Apache Airflow version

main (development)

### What happened

When dag processor starts with a sub directory to process then the import errors are recorded with that path. So when there is processor for airflow-dag-processor-0 folder in order to remove import errors it lists all files under airflow-dag-processor-0 folder and deletes those not present. This becomes an issue when there is airflow-dag-processor-1 that records import errors whose files won't be part of airflow-dag-processor-0 folder. 

### What you think should happen instead

The fix would be to have processor_subdir stored in ImportError table so that during querying we only look at import errors relevant to the dag processor and don't delete other items. A fix similar to https://github.com/apache/airflow/pull/33357 needs to be applied for import errors as well.

### How to reproduce

1. create a dag file with import error at `~/airflow/dags/airflow-dag-processor-0/sample_sleep.py` . Start a dag processor with -S to process "~/airflow/dags/airflow-dag-processor-0/" . Import error should be present.
2. create a dag file with import error at `~/airflow/dags/airflow-dag-processor-1/sample_sleep.py` . Start a dag processor with -S to process "~/airflow/dags/airflow-dag-processor-1/". Import error for airflow-dag-processor-0 is deleted.
3. 

```python
from datetime import datetime, timedelta

from airflow import DAG
from airflow.decorators import task

from datetime import timedelta, invalid


with DAG(
    dag_id="task_duration",
    start_date=datetime(2023, 1, 1),
    catchup=True,
    schedule_interval="@daily",
) as dag:

    @task
    def sleeper():
        pass

    sleeper()
```

### Operating System

Ubuntu

### Versions of Apache Airflow Providers

_No response_

### Deployment

Virtualenv installation

### Deployment details

_No response_

### Anything else

_No response_

### Are you willing to submit PR?

- [X] 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)

"""Initialize Airflow database."""
    import_all_models()
    db_exists = _get_current_revision(session)
    if db_exists:
        upgradedb(session=session)
    else:
        _create_db_from_orm(session=session)
    if conf.getboolean("database", "LOAD_DEFAULT_CONNECTIONS") and load_connections:
        create_default_connections(session=session)
    
    add_default_pool_if_not_exists(session=session)
    synchronize_log_template(session=session)
def _get_alembic_config():
    from alembic.config import Config
    package_dir = os.path.dirname(airflow.__file__)
    directory = os.path.join(package_dir, "migrations")
    alembic_file = conf.get("database", "alembic_ini_file_path")
    if os.path.isabs(alembic_file):
        config = Config(alembic_file)
    else:
        config = Config(os.path.join(package_dir, alembic_file))
    config.set_main_option("script_location", directory.replace("%", "%%"))
    config.set_main_option("sqlalchemy.url", settings.SQL_ALCHEMY_CONN.replace("%", "%%"))
    return config
def _get_script_object(config=None) -> ScriptDirectory:
    from alembic.script import ScriptDirectory
    if not config:
        config = _get_alembic_config()
    return ScriptDirectory.from_config(config)
def _get_current_revision(session):