Many people who cannot attend church every Sunday may still be interested in attending many of the events that go on in your church during the week. Since the church bulletin is a primary way of telling people about events coming up in church, if they don't get the bulletin they miss out.
Many churches make a PDF of their bulletin and put it on the website and that is a great idea--but to make it even more useful, you can put in links in your bulletin that will serve as live hyperlinks to your website information from the Bulletin PDF. This video shows you how to do this.
Yes, it does take additional time and effort, but we need to do all we can do to involve people in the ministries of our church that will help them become mature disciples of Jesus.