"Basement Occupied" makes more sense, doesn't it?

packages/lighting_and_scenes.yaml

@@ -746,14 +746,14 @@ automation:
           entity_id: timer.basement_studio_door_timer
         id: timer-finished
       - platform: state
-        entity_id: binary_sensor.basement_unoccupied
-        from: 'on'
-        to: 'off'
-        id: basement-occupied
-      - platform: state
-        entity_id: binary_sensor.basement_unoccupied
+        entity_id: binary_sensor.basement_occupied
         from: 'off'
         to: 'on'
+        id: basement-occupied
+      - platform: state
+        entity_id: binary_sensor.basement_occupied
+        from: 'on'
+        to: 'off'
         id: basement-unoccupied
       - platform: state
         entity_id:
@@ -794,8 +794,8 @@ automation:
         sequence:
         - if:
           - condition: state
-            entity_id: binary_sensor.basement_unoccupied
-            state: 'on'
+            entity_id: binary_sensor.basement_occupied
+            state: 'off'
           then:
           - service: timer.start
             target:

packages/presence.yaml

@@ -241,19 +241,19 @@ template:
       unique_id: 8de02d19-60a6-436d-9187-1cfc70d6c297
       state: "{{ is_state('group.adults','home') and (is_state('person.tony_stork','home') or is_state('person.christina_stork','home')) }}"
       device_class: presence
-    - name: "Basement Unoccupied"
+    - name: "Basement Occupied"
       unique_id: 20039c29-8b9d-436d-ba6c-8f2c2bda1db0
       state: >
         {% if is_state('binary_sensor.tony_desktop_on','off') and is_state('binary_sensor.kallen_desktop_on','off') %}
-          true
-        {% elif is_state('binary_sensor.tony_desktop_idle','on') and is_state('binary_sensor.kallen_desktop_idle','on') %}
-          true
-        {% elif is_state('binary_sensor.tony_desktop_idle','on') and is_state('binary_sensor.kallen_desktop_on','off') %}
-          true
-        {% elif is_state('binary_sensor.kallen_desktop_idle','on') and is_state('binary_sensor.tony_desktop_on','off') %}
-          true
-        {% else %}
           false
+        {% elif is_state('binary_sensor.tony_desktop_idle','on') and is_state('binary_sensor.kallen_desktop_idle','on') %}
+          false
+        {% elif is_state('binary_sensor.tony_desktop_idle','on') and is_state('binary_sensor.kallen_desktop_on','off') %}
+          false
+        {% elif is_state('binary_sensor.kallen_desktop_idle','on') and is_state('binary_sensor.tony_desktop_on','off') %}
+          false
+        {% else %}
+          true
         {% endif %}
     - name: "Upstairs Bathroom Occupied"
       unique_id: 7ec69a26-1013-4b0d-8662-a91ab9f040ca