One of the ways I've seen it done, and done it at previous companies is to not present it to every user on page view. Pop it up for only 10%, even if you have

One of the ways I've seen it done, and done it at previous companies is to not present it to every user on page view. Pop it up for only 10%, even if you have a button/link/menu to bring it up for everyone. That way you can solicit feedback while still gaining a lot of the benefits of having live interaction. It'll also still give you some insight to where the chat is most useful, but it'll take longer to gather useful data on what pages it gets used the most.