Qt: Fix rendering at unthrottled framerate while paused

src/duckstation-qt/qthost.cpp

@@ -700,7 +700,7 @@ void EmuThread::onDisplayWindowResized(int width, int height)
   System::HostDisplayResized();
 
   // re-render the display, since otherwise it will be out of date and stretched if paused
-  if (!System::IsShutdown())
+  if (System::IsValid())
   {
     if (m_is_exclusive_fullscreen && !g_host_display->IsFullscreen())
     {
@@ -712,7 +712,7 @@ void EmuThread::onDisplayWindowResized(int width, int height)
     }
 
     // force redraw if we're paused
-    if (!FullscreenUI::IsInitialized())
+    if (!System::IsRunning() && !FullscreenUI::HasActiveWindow())
       renderDisplay();
   }
 }
@@ -1498,7 +1498,7 @@ void EmuThread::run()
       CommonHost::PumpMessagesOnCPUThread();
 
       // we want to keep rendering the UI when paused and fullscreen UI is enabled
-      if (!FullscreenUI::IsInitialized() && !System::IsValid())
+      if (!FullscreenUI::HasActiveWindow() && !System::IsRunning())
       {
         // wait until we have a system before running
         m_event_loop->exec();

src/frontend-common/fullscreen_ui.cpp

@@ -454,8 +454,8 @@ bool FullscreenUI::IsInitialized()
 
 bool FullscreenUI::HasActiveWindow()
 {
-  return s_current_main_window != MainWindowType::None || s_save_state_selector_open ||
-         ImGuiFullscreen::IsChoiceDialogOpen() || ImGuiFullscreen::IsFileSelectorOpen();
+  return s_initialized && (s_current_main_window != MainWindowType::None || s_save_state_selector_open ||
+                           ImGuiFullscreen::IsChoiceDialogOpen() || ImGuiFullscreen::IsFileSelectorOpen());
 }
 
 void FullscreenUI::UpdateForcedVsync(bool should_force)