This is a great resource that lists which ServiceWorker features are supported by which major browsers.
The fact old browsers exist is not your fault. Don’t start these discussions by acting as if it is your failing that you can’t get the site looking identical in all browsers released in the last 10 years, while using technology only released this year. It’s not your fault, but it is your problem. It is your problem, your responsibility as a web professional to get yourself into a position where you can take the right course of action for each project.