### 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)

from airflow.models.base import Base
    from airflow.settings import AIRFLOW_MOVED_TABLE_PREFIX
    tables = set(inspect(connection).get_table_names())
    to_delete = [Table(x, Base.metadata) for x in tables if x.startswith(AIRFLOW_MOVED_TABLE_PREFIX)]
    for tbl in to_delete:
        tbl.drop(settings.engine, checkfirst=False)
        Base.metadata.remove(tbl)
@provide_session
def check(session: Session = NEW_SESSION):
    """
    Check if the database works.
    :param session: session of the sqlalchemy
    """
    session.execute(text("select 1 as is_alive;"))
    log.info("Connection successful.")
@enum.unique
class DBLocks(enum.IntEnum):
    """
    Cross-db Identifiers for advisory global database locks.
    Postgres uses int64 lock ids so we use the integer value, MySQL uses names, so we
    call ``str()`, which is implemented using the ``_name_`` field.
    """
    MIGRATIONS = enum.auto()
    SCHEDULER_CRITICAL_SECTION = enum.auto()
    def __str__(self):
        return f"airflow_{self._name_}"
@contextlib.contextmanager
def create_global_lock(