Is Live Chat Worth the Effort?

The button that is on our website. Pretty obvious isn't it?

We recently added a live chat client to our website. When ever I or Sonja are in the office, and able to engage in a chat, the software puts a button on the site. You can see the button here. It’s pretty obvious. In addition to the button, we can ‘push’ an invitation to people who are browsing the site.

It was my idea, I admit it. I thought it would be ‘da bomb’. The website would be a conduit for conversation. The application would get me talking to customers about our business software, and it would allow me to make them happier quicker and translate into more closed sales and happier customers.

That hasn’t happened.

Why not? Is live chat really not important? Maybe it isn’t important to the people who are looking at our website. (I thought it would be since people who visit brainsell.net probably have questions about business software. It’s not like BrainSell is a site people visit for entertainment)
Maybe people don’t really believe that live chat is really live. Maybe web users these days are so inured to anything that isn’t what they want that they just don’t see the buttons or the invitations. Maybe web users surf with blinders on.

I’d like to hear what you think.
Why isn’t anyone talking to me? Was it something I said?