### 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
state = states.index('awaiting_prompt')
                display.debug(u'Initial state: %s: %s' % (states[state], to_text(prompt)))
            elif self.become and self.become.success:
                
                
                state = states.index('awaiting_escalation')
                display.debug(u'Initial state: %s: %s' % (states[state], to_text(self.become.success)))
        
        
        
        
        
        b_stdout = b_stderr = b''
        b_tmp_stdout = b_tmp_stderr = b''
        self._flags = dict(
            become_prompt=False, become_success=False,
            become_error=False, become_nopasswd_error=False
        )
        
        
        
        timeout = 2 + self.get_option('timeout')
        for fd in (p.stdout, p.stderr):
            fcntl.fcntl(fd, fcntl.F_SETFL, fcntl.fcntl(fd, fcntl.F_GETFL) | os.O_NONBLOCK)
        
        
        selector = selectors.DefaultSelector()
        selector.register(p.stdout, selectors.EVENT_READ)
        selector.register(p.stderr, selectors.EVENT_READ)