Both web site design or web site contents are both important. You can't ignore any one of them. However, in some cases design does matter.
People frequently buy junk food just because it looks delicious or because it looks cute.
If your web site looks more or less like this page, then redesigning is a must. But if you haven't had a web site yet, you can save your future redesign cost by letting the professional do your web site design. It's amazing that there are so many companies spend several thousands of dollars for printing every year, but leave their world wide presence in the hands of amateurs. If you search the web, it's clearly not someone named Jeeves who help you. There's huge possibility that an amateur never know about this.