### 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)

from alembic.migration import MigrationContext
    conn = session.connection()
    migration_ctx = MigrationContext.configure(conn)
    return migration_ctx.get_current_revision()
def check_migrations(timeout):
    """
    Wait for all airflow migrations to complete.
    :param timeout: Timeout for the migration in seconds
    :return: None
    """
    timeout = timeout or 1  
    with _configured_alembic_environment() as env:
        context = env.get_context()
        source_heads = None
        db_heads = None
        for ticker in range(timeout):
            source_heads = set(env.script.get_heads())
            db_heads = set(context.get_current_heads())
            if source_heads == db_heads:
                return
            time.sleep(1)
            log.info("Waiting for migrations... %s second(s)", ticker)
        raise TimeoutError(
            f"There are still unapplied migrations after {timeout} seconds. Migration"
            f"Head(s) in DB: {db_heads} | Migration Head(s) in Source Code: {source_heads}"
        )
@contextlib.contextmanager
def _configured_alembic_environment() -> Generator[EnvironmentContext, None, None]: