Decouple the browsing data counters initialization and start.

chrome/browser/ui/webui/options/clear_browser_data_handler.cc

Index: chrome/browser/ui/webui/options/clear_browser_data_handler.cc
diff --git a/chrome/browser/ui/webui/options/clear_browser_data_handler.cc b/chrome/browser/ui/webui/options/clear_browser_data_handler.cc
index c8800ca55ddf861c2657b9c62d0571bcd9e615a7..d73ffadc39ecc84b48b4990bf5f6e9bfb42af0b3 100644
--- a/chrome/browser/ui/webui/options/clear_browser_data_handler.cc
+++ b/chrome/browser/ui/webui/options/clear_browser_data_handler.cc
@@ -80,6 +80,10 @@ void ClearBrowserDataHandler::InitializePage() {
   web_ui()->CallJavascriptFunction("ClearBrowserDataOverlay.setClearing",
                                    base::FundamentalValue(removal_in_progress));
 
+  for (BrowsingDataCounter* counter : counters_) {
+    DCHECK(AreCountersEnabled());
+    counter->Restart();
+  }
   web_ui()->CallJavascriptFunction(
       "ClearBrowserDataOverlay.markInitializationComplete");
 }