### 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
task_keys['timeout'] = self._play_context.timeout
        if self._play_context.password:
            
            
            
            
            task_keys['password'] = self._play_context.password
        
        del(task_keys['retries'])
        
        self._connection.set_options(task_keys=task_keys, var_options=options)
        varnames.extend(self._set_plugin_options('shell', variables, templar, task_keys))
        if self._connection.become is not None:
            if self._play_context.become_pass:
                
                
                
                
                task_keys['become_pass'] = self._play_context.become_pass
            varnames.extend(self._set_plugin_options('become', variables, templar, task_keys))
            
            for option in ('become_user', 'become_flags', 'become_exe', 'become_pass'):
                try:
                    setattr(self._play_context, option, self._connection.become.get_option(option))
                except KeyError:
                    pass  
            self._play_context.prompt = self._connection.become.prompt
        return varnames
    def _get_action_handler(self, connection, templar):