### Summary

I have an inventory with two hosts, say H1 an H2.
On H2, I execute a task with `delegate_to: H1`. It seems, however, that the task is eventually executed on H2.


### Issue Type

Bug Report

### Component Name

core

### Ansible Version

```console
$ ansible --version
ansible [core 2.11.5] 
  config file = /etc/ansible/ansible.cfg
  configured module search path = ['/home/mrks/.ansible/plugins/modules', '/usr/share/ansible/plugins/modules']
  ansible python module location = /usr/lib/python3.9/site-packages/ansible
  ansible collection location = /home/mrks/.ansible/collections:/usr/share/ansible/collections
  executable location = /usr/bin/ansible
  python version = 3.9.7 (default, Aug 31 2021, 13:28:12) [GCC 11.1.0]
  jinja version = 3.0.2
  libyaml = True
```


### Configuration

```console
$ ansible-config dump --only-changed
<none>
```


### OS / Environment

Arch Linux

### Steps to Reproduce

Playbook:
```yaml
- hosts: H2
  tasks:
  - shell: hostname
    register: foo
    delegate_to: H1
  - debug:
    var: foo
```


### Expected Results

Expected foo.stdout = 'H1'.

By the way, I am pretty sure that this worked for a long time.

### Actual Results

```console
TASK [shell] *******************************************************************
changed: [H2 -> H1]

TASK [debug] *******************************************************************
ok: [H2] => {
    "foo": {
...
        "stdout": "H2",
        "stdout_lines": [
            "H2"
        ]
    }
}
```


### Code of Conduct

- [X] I agree to follow the Ansible Code of Conduct
cleanup_task = Task.load(
                {
                    'async_status': {
                        'jid': async_jid,
                        'mode': 'cleanup',
                    },
                    'environment': self._task.environment,
                }
            )
            cleanup_handler = self._shared_loader_obj.action_loader.get(
                'ansible.legacy.async_status',
                task=cleanup_task,
                connection=self._connection,
                play_context=self._play_context,
                loader=self._loader,
                templar=templar,
                shared_loader_obj=self._shared_loader_obj,
            )
            cleanup_handler.run(task_vars=task_vars)
            cleanup_handler.cleanup(force=True)
            async_handler.cleanup(force=True)
            return async_result
    def _get_become(self, name):
        become = become_loader.get(name)
        if not become:
            raise AnsibleError("Invalid become method specified, could not find matching plugin: '%s'. "
                               "Use `ansible-doc -t become -l` to list available plugins." % name)
        return become
    def _get_connection(self, cvars, templar):