### 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)

if is_mtime_mode:
                try:
                    files_with_mtime[file_path] = os.path.getmtime(file_path)
                except FileNotFoundError:
                    self.log.warning("Skipping processing of missing file: %s", file_path)
                    self._file_stats.pop(file_path, None)
                    file_paths_to_stop_watching.add(file_path)
                    continue
                file_modified_time = datetime.fromtimestamp(files_with_mtime[file_path], tz=timezone.utc)
            else:
                file_paths.append(file_path)
                file_modified_time = None
            
            
            
            
            last_finish_time = self.get_last_finish_time(file_path)
            if (
                last_finish_time is not None
                and (now - last_finish_time).total_seconds() < self._file_process_interval
                and not (is_mtime_mode and file_modified_time and (file_modified_time > last_finish_time))
            ):
                file_paths_recently_processed.append(file_path)
        
        if is_mtime_mode:
            file_paths = sorted(files_with_mtime, key=files_with_mtime.get, reverse=True)
        elif list_mode == "alphabetical":
            file_paths.sort()
        elif list_mode == "random_seeded_by_host":