[Docs] Fix old YAML style in async docs (#31421)

* [Docs] Fix old YAML style in async docs

This patch fixes some old-style YAML in the documentation for
asynchronous playbooks.

* Removed hard-to-localize colloquialisms

docs/docsite/rst/playbooks_async.rst

@@ -33,7 +33,7 @@ poll value is 10 seconds if you do not specify a value for `poll`::
    default.
 
 Alternatively, if you do not need to wait on the task to complete, you may
-"fire and forget" by specifying a poll value of 0::
+run the task asynchronously by specifying a poll value of 0::
 
     ---
 
@@ -48,28 +48,30 @@ Alternatively, if you do not need to wait on the task to complete, you may
         poll: 0
 
 .. note::
-   You shouldn't "fire and forget" with operations that require
-   exclusive locks, such as yum transactions, if you expect to run other
+   You shouldn't attempt run a task asynchronously by specifying a poll value of 0:: to with operations that require
+   exclusive locks (such as yum transactions) if you expect to run other
    commands later in the playbook against those same resources.
 
 .. note::
    Using a higher value for ``--forks`` will result in kicking off asynchronous
    tasks even faster.  This also increases the efficiency of polling.
 
-If you would like to perform a variation of the "fire and forget" where you 
-"fire and forget, check on it later" you can perform a task similar to the 
+If you would like to perform a task asynchroniusly and check on it later you can perform a task similar to the
 following::
 
       ---
       # Requires ansible 1.8+
-      - name: 'YUM - fire and forget task'
-        yum: name=docker-io state=installed
+      - name: 'YUM - async task'
+        yum:
+          name: docker-io
+          state: installed
         async: 1000
         poll: 0
         register: yum_sleeper
 
-      - name: 'YUM - check on fire and forget task'
-        async_status: jid={{ yum_sleeper.ansible_job_id }}
+      - name: 'YUM - check on async task'
+        async_status:
+          jid: "{{ yum_sleeper.ansible_job_id }}"
         register: job_result
         until: job_result.finished
         retries: 30