To be clear, I contacted S&W customer service to make that inquiry. They did not specify if the tool was supposed to be included, but, immediately offered to send me one free of charge. I did not ask for or expect any freebies. Just wanted to know if I was missing something. So, I have a wrench on it's way.
I don't have any immediate plans to install a suppressor, but if things ever change I'm not against obtaining one. My biggest concern was making sure that thread protector doesn't sieze up on the end of the barrel because of lack of oil or cleaning of the threads. Perhaps the heat/cool cycle of firing the pistol would counter those concerns, but I don't know.