I think live chat is good for sales/billing issues. As for tech, here is a funny story:
A client had a problem with their password and they got onto live chat, which I picked up to help them. I changed the password and they said it didn't work. Okay, so I did it again and tested it this time. Simple cPanel password change. It didn't work again. Okay I try again, it is working, give to customer it is not! I'm not sure at what point, but I asked in the main chat room what the heck is wrong with the server and somebody told me they were having the same problem. Guess what, that guy I was on live chat with and his partner both decided to get help! One from phone and one from live chat. They weren't laughing, so I'm not sure if it was a joke or not!
This happens a lot, not necessarily with just passwords but other issues too. Or they do it to ticket, live chat, and phone all at once, those are the fun ones.