SMS not stored if app has SMS default app permission

Question

I have an app that has default SMS app permissions. So I can receive SMS only using system default Receiver:

 <receiver
        android:name="com.socialproof.smad_gateway.logic.receivers.MyDefaultSmsReceiver"
        android:permission="android.permission.BROADCAST_SMS">
        <intent-filter>
            <action android:name="android.provider.Telephony.SMS_DELIVER" />
        </intent-filter>
    </receiver>

And Receiver's code:

  public class MyDefaultSmsReceiver extends BroadcastReceiver {

    @Override
    public void onReceive(Context context, Intent intent) {
        Bundle intentExtras = intent.getExtras();

        if (intentExtras != null) {
          //read and manage received SMS
        }
    }
  }

Everything works good but I noticed that received SMS by my receiver are not stored in original Message app(check when I give back default SMS app permission to Meassaging app). Also when I try to loop within received SMS, I get no SMS received in my app (only those received by original Messaging app), I'm using this code:

  private void testSmsLoop() {
    Uri smsUri = Uri.parse("content://sms");
    Cursor cursorOldSms = App.getUniversalContext().getContentResolver().query(smsUri, null, null, null, null);

    if (cursorOldSms != null) {
        Log.d("TAG", "rows: " + cursorOldSms.getCount());

        while (cursorOldSms.moveToNext()) {
           //handle looped SMS
        }

        cursorOldSms.close();
    }
}

So is this an expected behavior?

I'am asking because I'd like to delete all SMS after it's received to ignore the full memory case (now it seems they are not stored even)