Improve split integration test. (#78738)

* Omit redundant fact gathering.

* Add connection type to split test.

* Add user info to split integration test.

test/integration/targets/split/aliases

@@ -1,2 +1,3 @@
 context/target
 shippable/posix/group1
+gather_facts/no

test/integration/targets/split/tasks/main.yml

@@ -13,15 +13,21 @@
 - name: Build non-split status message
   set_fact:
     message: "
+      {{ control_host.ansible_facts.ansible_user_id }}@{{ control_host.ansible_facts.ansible_hostname }} on
       {{ control_host.ansible_facts.ansible_distribution }} {{ control_host.ansible_facts.ansible_distribution_version }}
-      {{ control_host.ansible_facts.ansible_python.executable }} ({{ control_host.ansible_facts.ansible_python_version }}) ->
+      {{ control_host.ansible_facts.ansible_python.executable }} ({{ control_host.ansible_facts.ansible_python_version }})
+      --[ {{ ansible_connection }} ]-->
+      {{ managed_host.ansible_facts.ansible_user_id }} on
       {{ managed_host.ansible_facts.ansible_python.executable }} ({{ managed_host.ansible_facts.ansible_python_version }})"
   when: split is success and split.stat.exists
 - name: Build split status message
   set_fact:
     message: "
+      {{ control_host.ansible_facts.ansible_user_id }}@{{ control_host.ansible_facts.ansible_hostname }} on
       {{ control_host.ansible_facts.ansible_distribution }} {{ control_host.ansible_facts.ansible_distribution_version }}
-      {{ control_host.ansible_facts.ansible_python.executable }} ({{ control_host.ansible_facts.ansible_python_version }}) ->
+      {{ control_host.ansible_facts.ansible_python.executable }} ({{ control_host.ansible_facts.ansible_python_version }})
+      --[ {{ ansible_connection }} ]-->
+      {{ managed_host.ansible_facts.ansible_user_id }}@{{ managed_host.ansible_facts.ansible_hostname }} on
       {{ managed_host.ansible_facts.ansible_distribution }} {{ managed_host.ansible_facts.ansible_distribution_version }}
       {{ managed_host.ansible_facts.ansible_python.executable }} ({{ managed_host.ansible_facts.ansible_python_version }})"
   when: split is not success or not split.stat.exists