### 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)

random.Random(get_hostname()).shuffle(file_paths)
        if file_paths_to_stop_watching:
            self.set_file_paths(
                [path for path in self._file_paths if path not in file_paths_to_stop_watching]
            )
        files_paths_at_run_limit = [
            file_path for file_path, stat in self._file_stats.items() if stat.run_count == self._max_runs
        ]
        file_paths_to_exclude = file_paths_in_progress.union(
            file_paths_recently_processed,
            files_paths_at_run_limit,
        )
        
        
        files_paths_to_queue = [
            file_path for file_path in file_paths if file_path not in file_paths_to_exclude
        ]
        for file_path, processor in self._processors.items():
            self.log.debug(
                "File path %s is still being processed (started: %s)",
                processor.file_path,
                processor.start_time.isoformat(),
            )
        self.log.debug("Queuing the following files for processing:\n\t%s", "\n\t".join(files_paths_to_queue))
        for file_path in files_paths_to_queue:
            self._file_stats.setdefault(file_path, DagFileProcessorManager.DEFAULT_FILE_STAT)
        self._add_paths_to_queue(files_paths_to_queue, False)
        Stats.incr("dag_processing.file_path_queue_update_count")
    def _kill_timed_out_processors(self):