core: Partially persist emulation state across game boots.

src/core/core_timing.h

@@ -61,8 +61,8 @@ public:
     /// required to end slice - 1 and start slice 0 before the first cycle of code is executed.
     void Initialize(std::function<void()>&& on_thread_init_);
 
-    /// Tears down all timing related functionality.
-    void Shutdown();
+    /// Clear all pending events. This should ONLY be done on exit.
+    void ClearPendingEvents();
 
     /// Sets if emulation is multicore or single core, must be set before Initialize
     void SetMulticore(bool is_multicore_) {
@@ -136,9 +136,6 @@ public:
 private:
     struct Event;
 
-    /// Clear all pending events. This should ONLY be done on exit.
-    void ClearPendingEvents();
-
     static void ThreadEntry(CoreTiming& instance);
     void ThreadLoop();