InputManager: Apply 'Disable Background Input' to ImGui too

And fix the incorrect config key.

src/core/settings.cpp

@@ -217,7 +217,7 @@ void Settings::Load(const SettingsInterface& si, const SettingsInterface& contro
   inhibit_screensaver = si.GetBoolValue("Main", "InhibitScreensaver", true);
   pause_on_focus_loss = si.GetBoolValue("Main", "PauseOnFocusLoss", false);
   pause_on_controller_disconnection = si.GetBoolValue("Main", "PauseOnControllerDisconnection", false);
-  ignore_background_input = si.GetBoolValue("Main", "IgnoreBackgroundInput", false);
+  disable_background_input = si.GetBoolValue("Main", "DisableBackgroundInput", false);
   save_state_on_exit = si.GetBoolValue("Main", "SaveStateOnExit", true);
   create_save_state_backups = si.GetBoolValue("Main", "CreateSaveStateBackups", DEFAULT_SAVE_STATE_BACKUPS);
   confim_power_off = si.GetBoolValue("Main", "ConfirmPowerOff", true);
@@ -632,7 +632,7 @@ void Settings::Save(SettingsInterface& si, bool ignore_base) const
     si.SetBoolValue("Main", "EnableDiscordPresence", enable_discord_presence);
   }
 
-  si.SetBoolValue("Main", "IgnoreBackgroundInput", ignore_background_input);
+  si.SetBoolValue("Main", "DisableBackgroundInput", disable_background_input);
 
   si.SetBoolValue("Main", "LoadDevicesFromSaveStates", load_devices_from_save_states);
   si.SetBoolValue("Main", "DisableAllEnhancements", disable_all_enhancements);

src/core/settings.h

@@ -327,7 +327,7 @@ struct Settings : public GPUSettings
   bool inhibit_screensaver : 1 = true;
   bool pause_on_focus_loss : 1 = false;
   bool pause_on_controller_disconnection : 1 = false;
-  bool ignore_background_input : 1 = false;
+  bool disable_background_input : 1 = false;
   bool save_state_on_exit : 1 = true;
   bool create_save_state_backups : 1 = DEFAULT_SAVE_STATE_BACKUPS;
   bool confim_power_off : 1 = true;

src/core/system.cpp

@@ -4856,7 +4856,7 @@ void System::CheckForSettingsChanges(const Settings& old_settings)
     }
   }
 
-  if (g_settings.ignore_background_input != old_settings.ignore_background_input)
+  if (g_settings.disable_background_input != old_settings.disable_background_input)
     InputManager::UpdateInputIgnoreState();
 
   Achievements::UpdateSettings(old_settings);

src/duckstation-qt/interfacesettingswidget.ui

@@ -57,6 +57,13 @@
         </property>
        </widget>
       </item>
+      <item row="2" column="1">
+       <widget class="QCheckBox" name="disableBackgroundInput">
+        <property name="text">
+         <string>Disable Background Input</string>
+        </property>
+       </widget>
+      </item>
       <item row="3" column="0">
        <widget class="QCheckBox" name="createSaveStateBackups">
         <property name="text">
@@ -78,13 +85,6 @@
         </property>
        </widget>
       </item>
-      <item row="2" column="1">
-       <widget class="QCheckBox" name="disableBackgroundInput">
-        <property name="text">
-         <string>Disable Background Input</string>
-        </property>
-       </widget>
-      </item>
      </layout>
     </widget>
    </item>

src/util/input_manager.cpp

@@ -1175,13 +1175,13 @@ void InputManager::InvokeEvents(InputBindingKey key, float value, GenericInputBi
   if (DoEventHook(key, value))
     return;
 
-  // If imgui ate the event, don't fire our handlers.
-  const bool skip_button_handlers = PreprocessEvent(key, value, generic_key);
-
   // Background input test
   if (ShouldMaskBackgroundInput(key))
     return;
 
+  // If imgui ate the event, don't fire our handlers.
+  const bool skip_button_handlers = PreprocessEvent(key, value, generic_key);
+
   ProcessEvent(key, value, skip_button_handlers);
 }
 
@@ -1648,7 +1648,7 @@ void InputManager::OnApplicationBackgroundStateChanged(bool in_background)
 void InputManager::UpdateInputIgnoreState()
 {
   const bool prev_ignore_input_events = s_state.ignore_input_events;
-  s_state.ignore_input_events = s_state.application_in_background && g_settings.ignore_background_input;
+  s_state.ignore_input_events = s_state.application_in_background && g_settings.disable_background_input;
   if (s_state.ignore_input_events != prev_ignore_input_events)
   {
     if (s_state.ignore_input_events)