Don't completely reinit menu driver unless we're killing Rarch.

driver.c

@@ -535,7 +535,8 @@ void init_drivers(void)
    driver.osk_data_own = false;
 #endif
 #ifdef HAVE_MENU
-   driver.menu_data_own = false;
+   // By default, we want the menu to persist through driver reinits.
+   driver.menu_data_own = true;
 #endif
 
    adjust_system_rates();

frontend/frontend.c

@@ -258,7 +258,10 @@ void main_exit(args_type() args)
    }
 
    if (g_extern.main_is_init)
+   {
+      driver.menu_data_own = false; // Do not want menu context to live any more.
       rarch_main_deinit();
+   }
    rarch_deinit_msg_queue();
 
 #ifdef PERF_TEST

retroarch.c

@@ -1963,10 +1963,6 @@ static void check_savestates(bool immutable)
 
 void rarch_set_fullscreen(bool fullscreen)
 {
-#ifdef HAVE_MENU
-   driver.menu_data_own = true; // Don't reinit menu for something trivial.
-#endif
-
    g_settings.video.fullscreen = fullscreen;
    driver.video_cache_context = g_extern.system.hw_render_callback.cache_context;
    driver.video_cache_context_ack = false;
@@ -1977,10 +1973,6 @@ void rarch_set_fullscreen(bool fullscreen)
    // Poll input to avoid possibly stale data to corrupt things.
    if (driver.input)
       input_poll_func();
-
-#ifdef HAVE_MENU
-   driver.menu_data_own = false;
-#endif
 }
 
 bool rarch_check_fullscreen(void)