### 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)

self._dag_ids = dag_ids
        self._async_mode = async_mode
        self._parsing_start_time: float | None = None
        self._dag_directory = dag_directory
        
        
        
        #
        
        
        if self._async_mode and self._direct_scheduler_conn is not None:
            os.set_blocking(self._direct_scheduler_conn.fileno(), False)
        self.standalone_dag_processor = conf.getboolean("scheduler", "standalone_dag_processor")
        self._parallelism = conf.getint("scheduler", "parsing_processes")
        if (
            conf.get_mandatory_value("database", "sql_alchemy_conn").startswith("sqlite")
            and self._parallelism > 1
        ):
            self.log.warning(
                "Because we cannot use more than 1 thread (parsing_processes = "
                "%d) when using sqlite. So we set parallelism to 1.",
                self._parallelism,
            )
            self._parallelism = 1
        
        self._file_process_interval = conf.getint("scheduler", "min_file_process_interval")
        
        
        self.print_stats_interval = conf.getint("scheduler", "print_stats_interval")