### Summary

Running `ansible-doc -l` generates 430 deprecation warnings on stderr before printing anything to stdout.
```
[DEPRECATION WARNING]: amazon.aws.aws_az_facts has been deprecated.
aws_az_facts was renamed in Ansible 2.9 to aws_az_info. Please update your
tasks. This feature will be removed from amazon.aws in a release after
2022-06-01. Deprecation warnings can be disabled by setting
deprecation_warnings=False in ansible.cfg.

[DEPRECATION WARNING]: amazon.aws.aws_caller_facts has been deprecated.
aws_caller_facts was renamed in Ansible 2.9 to aws_caller_info. Please update
your tasks. This feature will be removed from amazon.aws in a release after
2021-12-01. Deprecation warnings can be disabled by setting
deprecation_warnings=False in ansible.cfg.
...
```

### Issue Type

Bug Report

### Component Name

ansible-doc

### Ansible Version

```console
$ ansible-doc --version

ansible-doc 2.10.6
  config file = None
  configured module search path = [u'/home/charleshowes/.ansible/plugins/modules', u'/usr/share/ansible/plugins/modules']
  ansible python module location = /usr/local/lib/python2.7/dist-packages/ansible
  executable location = /usr/local/bin/ansible-doc
  python version = 2.7.17 (default, Sep 30 2020, 13:38:04) [GCC 7.5.0]
```


### Configuration

```console
$ ansible-config dump --only-changed
(no output)
```


### OS / Environment

Ubuntu 18.04

### Steps to Reproduce

<!--- Paste example playbooks or commands between quotes below -->
```shell (paste below)
ansible-doc -l
```


### Expected Results

I expected to see a list of available plugins, and was shocked to have pages and pages of warnings.

### Actual Results

```console
$ ansible-doc -l 2>&1 | head

[DEPRECATION WARNING]: amazon.aws.aws_az_facts has been deprecated. 
aws_az_facts was renamed in Ansible 2.9 to aws_az_info. Please update your 
tasks. This feature will be removed from amazon.aws in a release after 
2022-06-01. Deprecation warnings can be disabled by setting 
deprecation_warnings=False in ansible.cfg.
[DEPRECATION WARNING]: amazon.aws.aws_caller_facts has been deprecated. 
aws_caller_facts was renamed in Ansible 2.9 to aws_caller_info. Please update 
your tasks. This feature will be removed from amazon.aws in a release after 
2021-12-01. Deprecation warnings can be disabled by setting 
deprecation_warnings=False in ansible.cfg.

$ ansible-doc -l 2>&1 | grep -c 'DEPRECATION WARNING'

430
```


### Code of Conduct

- [X] I agree to follow the Ansible Code of Conduct
def __init__(self):
        self.original_name = None
        self.redirect_list = []
        self.error_list = []
        self.import_error_list = []
        self.load_attempts = []
        self.pending_redirect = None
        self.exit_reason = None
        self.plugin_resolved_path = None
        self.plugin_resolved_name = None
        self.plugin_resolved_collection = None  
        self.deprecated = False
        self.removal_date = None
        self.removal_version = None
        self.deprecation_warnings = []
        self.resolved = False
        self._resolved_fqcn = None
    @property
    def resolved_fqcn(self):
        if not self.resolved:
            return
        if not self._resolved_fqcn:
            final_plugin = self.redirect_list[-1]
            if AnsibleCollectionRef.is_valid_fqcr(final_plugin) and final_plugin.startswith('ansible.legacy.'):
                final_plugin = final_plugin.split('ansible.legacy.')[-1]
            if self.plugin_resolved_collection and not AnsibleCollectionRef.is_valid_fqcr(final_plugin):
                final_plugin = self.plugin_resolved_collection + '.' + final_plugin
            self._resolved_fqcn = final_plugin
        return self._resolved_fqcn
    def record_deprecation(self, name, deprecation, collection_name):