Revert "Log metric when password is first signed in."

This reverts commit 8c91b029.

Reason for revert: Only want to log this metric on startup to keep
metric simple.

Original change's description:
> Log metric when password is first signed in.
> 
> Previously, SaveProtectedPasswordHash did not log
> a metric when a password is saved into the hash
> manager on first signed in.
> 
> Bug: 1032322
> Change-Id: I66fca65496ccd5866536d954f60e4773d66d3a4d
> Reviewed-on: https://chromium-review.googlesource.com/c/chromium/src/+/1959046
> Reviewed-by: Vasilii Sukhanov <vasilii@chromium.org>
> Reviewed-by: Varun Khaneja <vakh@chromium.org>
> Commit-Queue: Bettina Dea <bdea@chromium.org>
> Cr-Commit-Position: refs/heads/master@{#723508}

TBR=vasilii@chromium.org,vakh@chromium.org,bdea@chromium.org

# Not skipping CQ checks because original CL landed > 1 day ago.

Bug: 1032322
Change-Id: Ida2a7b78027b392702c79fa6fd613b827567723e
Reviewed-on: https://chromium-review.googlesource.com/c/chromium/src/+/1963209Reviewed-by: Bettina Dea <bdea@chromium.org>
Commit-Queue: Bettina Dea <bdea@chromium.org>
Cr-Commit-Position: refs/heads/master@{#724045}

components/password_manager/core/browser/password_store.cc

@@ -490,8 +490,6 @@ void PasswordStore::SaveProtectedPasswordHash(const std::string& username,
                                               const base::string16& password,
                                               bool is_gaia_password,
                                               GaiaPasswordHashChange event) {
-  bool is_first_sign_in =
-      !hash_password_manager_.HasPasswordHash(username, is_gaia_password);
   if (hash_password_manager_.SavePasswordHash(username, password,
                                               is_gaia_password)) {
     bool is_syncing =
@@ -500,8 +498,7 @@ void PasswordStore::SaveProtectedPasswordHash(const std::string& username,
     if (is_gaia_password) {
       metrics_util::LogGaiaPasswordHashChange(event, is_syncing);
     }
-    // Should log metrics if this is the first time saving the password hash.
-    SchedulePasswordHashUpdate(/*should_log_metrics=*/is_first_sign_in);
+    SchedulePasswordHashUpdate(/*should_log_metrics=*/false);
   }
 }