Drive extension functions from ExtensionFunction::Run. The

extensions/browser/api/storage/storage_api.cc

Index: extensions/browser/api/storage/storage_api.cc
diff --git a/extensions/browser/api/storage/storage_api.cc b/extensions/browser/api/storage/storage_api.cc
index 3f1882d066da2e619fda92ccec54d43fcc6977d1..15967e1869efc39267dcacaf2f4c8dab8a518bdd 100644
--- a/extensions/browser/api/storage/storage_api.cc
+++ b/extensions/browser/api/storage/storage_api.cc
@@ -32,14 +32,13 @@ bool SettingsFunction::ShouldSkipQuotaLimiting() const {
   std::string settings_namespace_string;
   if (!args_->GetString(0, &settings_namespace_string)) {
     // This should be EXTENSION_FUNCTION_VALIDATE(false) but there is no way
-    // to signify that from this function. It will be caught in
-    // RunImplTypesafe().
+    // to signify that from this function. It will be caught in Run().
     return false;
   }
   return settings_namespace_string != "sync";
 }
 
-ExtensionFunction::ResponseAction SettingsFunction::RunImplTypesafe() {
+ExtensionFunction::ResponseAction SettingsFunction::Run() {
   std::string settings_namespace_string;
   EXTENSION_FUNCTION_VALIDATE_TYPESAFE(
       args_->GetString(0, &settings_namespace_string));
@@ -66,11 +65,10 @@ ExtensionFunction::ResponseAction SettingsFunction::RunImplTypesafe() {
 
 void SettingsFunction::AsyncRunWithStorage(ValueStore* storage) {
   ResponseValue response = RunWithStorage(storage);
-  BrowserThread::PostTask(BrowserThread::UI,
-                          FROM_HERE,
-                          base::Bind(&SettingsFunction::SendResponseTypesafe,
-                                     this,
-                                     base::Passed(&response)));
+  BrowserThread::PostTask(
+      BrowserThread::UI,
+      FROM_HERE,
+      base::Bind(&SettingsFunction::Done, this, base::Passed(&response)));
 }
 
 ExtensionFunction::ResponseValue SettingsFunction::UseReadResult(