### Apache Airflow version

2.7.0rc2

### What happened

In the Airflow UI, currently, the DAG Processor is visible in the Cluster Activity page even if there is no stand-alone dag processor. 

### What you think should happen instead

It should be hidden if there is no stand-alone dag processor.

### How to reproduce

Run Airflow 2.7 

### Operating System

Mac OS

### Versions of Apache Airflow Providers

Airflow > 2.7

### Deployment

Official Apache Airflow Helm Chart

### 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)

"""Task Statistics."""
        allowed_dag_ids = get_airflow_app().appbuilder.sm.get_accessible_dag_ids(g.user)
        if not allowed_dag_ids:
            return flask.json.jsonify({})
        
        selected_dag_ids = {unquote(dag_id) for dag_id in request.form.getlist("dag_ids") if dag_id}
        if selected_dag_ids:
            filter_dag_ids = selected_dag_ids.intersection(allowed_dag_ids)
        else:
            filter_dag_ids = allowed_dag_ids
        running_dag_run_query_result = (
            select(DagRun.dag_id, DagRun.run_id)
            .join(DagModel, DagModel.dag_id == DagRun.dag_id)
            .where(DagRun.state == DagRunState.RUNNING, DagModel.is_active)
        )
        running_dag_run_query_result = running_dag_run_query_result.where(DagRun.dag_id.in_(filter_dag_ids))
        running_dag_run_query_result = running_dag_run_query_result.subquery("running_dag_run")
        
        running_task_instance_query_result = select(
            TaskInstance.dag_id.label("dag_id"),
            TaskInstance.state.label("state"),
            sqla.literal(True).label("is_dag_running"),
        ).join(
            running_dag_run_query_result,
            and_(
                running_dag_run_query_result.c.dag_id == TaskInstance.dag_id,
                running_dag_run_query_result.c.run_id == TaskInstance.run_id,
            ),
        )
        if conf.getboolean("webserver", "SHOW_RECENT_STATS_FOR_COMPLETED_RUNS", fallback=True):