### 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)

"""Sleeps until all the processors are done."""
        for processor in self._processors.values():
            while not processor.done:
                time.sleep(0.1)
    def _collect_results_from_processor(self, processor) -> None:
        self.log.debug("Processor for %s finished", processor.file_path)
        Stats.decr("dag_processing.processes", tags={"file_path": processor.file_path, "action": "finish"})
        last_finish_time = timezone.utcnow()
        if processor.result is not None:
            num_dags, count_import_errors = processor.result
        else:
            self.log.error(
                "Processor for %s exited with return code %s.", processor.file_path, processor.exit_code
            )
            count_import_errors = -1
            num_dags = 0
        last_duration = last_finish_time - processor.start_time
        stat = DagFileStat(
            num_dags=num_dags,
            import_errors=count_import_errors,
            last_finish_time=last_finish_time,
            last_duration=last_duration,
            run_count=self.get_run_count(processor.file_path) + 1,
        )
        self._file_stats[processor.file_path] = stat
        file_name = Path(processor.file_path).stem
        Stats.timing(f"dag_processing.last_duration.{file_name}", last_duration)
        Stats.timing("dag_processing.last_duration", last_duration, tags={"file_name": file_name})
    def collect_results(self) -> None: