### 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)

"""
    Check nullable conn_type column in Connection table.
    :param session:  session of the sqlalchemy
    """
    from airflow.models.connection import Connection
    try:
        n_nulls = session.scalars(select(Connection.conn_id).where(Connection.conn_type.is_(None))).all()
    except (exc.OperationalError, exc.ProgrammingError, exc.InternalError):
        
        session.rollback()
        return
    if n_nulls:
        yield (
            "The conn_type column in the connection "
            "table must contain content.\n"
            "Make sure you don't have null "
            "in the conn_type column.\n"
            f"Null conn_type conn_id: {n_nulls}"
        )
def _format_dangling_error(source_table, target_table, invalid_count, reason):
    noun = "row" if invalid_count == 1 else "rows"
    return (
        f"The {source_table} table has {invalid_count} {noun} {reason}, which "
        f"is invalid. We could not move them out of the way because the "
        f"{target_table} table already exists in your database. Please either "
        f"drop the {target_table} table, or manually delete the invalid rows "
        f"from the {source_table} table."
    )
def check_run_id_null(session: Session) -> Iterable[str]: