### 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)

deactivated_dagmodel = session.execute(
                update(DagModel)
                .where(DagModel.dag_id.in_(to_deactivate))
                .values(is_active=False)
                .execution_options(synchronize_session="fetch")
            )
            deactivated = deactivated_dagmodel.rowcount
            if deactivated:
                cls.logger().info("Deactivated %i DAGs which are no longer present in file.", deactivated)
            for dag_id in to_deactivate:
                SerializedDagModel.remove_dag(dag_id)
                cls.logger().info("Deleted DAG %s in serialized_dag table", dag_id)
    def _run_parsing_loop(self):
        
        if self._async_mode:
            poll_time = 0.0
        else:
            poll_time = None
        self._refresh_dag_dir()
        self.prepare_file_path_queue()
        max_callbacks_per_loop = conf.getint("scheduler", "max_callbacks_per_loop")
        if self._async_mode:
            
            
            self.start_new_processes()
        while True:
            loop_start_time = time.monotonic()
            ready = multiprocessing.connection.wait(self.waitables.keys(), timeout=poll_time)
            self.heartbeat()
            if self._direct_scheduler_conn is not None and self._direct_scheduler_conn in ready: