Do not record startup metrics when non-browser UI was displayed

chrome/browser/metrics/first_web_contents_profiler.cc

Index: chrome/browser/metrics/first_web_contents_profiler.cc
diff --git a/chrome/browser/metrics/first_web_contents_profiler.cc b/chrome/browser/metrics/first_web_contents_profiler.cc
index 25a6b2a1f8fad0666a3309e068eecc9818089ac3..65df3fba2b3e89c9069cc75669e4a328613d0ed1 100644
--- a/chrome/browser/metrics/first_web_contents_profiler.cc
+++ b/chrome/browser/metrics/first_web_contents_profiler.cc
@@ -15,6 +15,7 @@
 #include "chrome/browser/ui/tabs/tab_strip_model.h"
 #include "components/metrics/profiler/tracking_synchronizer.h"
 #include "components/metrics/proto/profiler_event.pb.h"
+#include "components/startup_metric_utils/startup_metric_utils.h"
 #include "content/public/browser/browser_thread.h"
 
 namespace {
@@ -126,6 +127,10 @@ FirstWebContentsProfiler::FirstWebContentsProfiler(
 void FirstWebContentsProfiler::DidFirstVisuallyNonEmptyPaint() {
   if (collected_paint_metric_)
     return;
+  if (startup_metric_utils::WasNonBrowserUIDisplayed()) {
+    FinishedCollectingMetrics();
+    return;
+  }
 
   collected_paint_metric_ = true;
   if (!process_creation_time_.is_null()) {
@@ -165,6 +170,10 @@ void FirstWebContentsProfiler::DidFirstVisuallyNonEmptyPaint() {
 void FirstWebContentsProfiler::DocumentOnLoadCompletedInMainFrame() {
   if (collected_load_metric_)
     return;
+  if (startup_metric_utils::WasNonBrowserUIDisplayed()) {
+    FinishedCollectingMetrics();
+    return;
+  }
 
   collected_load_metric_ = true;
   if (!process_creation_time_.is_null()) {