Each way of support has its advantages, so I think the more options for support a host offers, the better. Clients need to have an opportunity to contact the host in the most convenient way for them. Some people would want to receive an answer to their issue as quickly as possible. So, in this case, I think it’s better to offer them live chat and phone support. Some other people prefer to explain in more details what their problem is, and they may feel more convenient by doing this via a support ticket system or email support. Also, they may get more comprehensive responses this way.
You need to decide for yourself which way of contacting the host is the most convenient for you. But, in general, if the host offers even only one type of support, it shouldn’t be a problem, as long as it’s good and timely.