Why does an internet and email service provider NOT provide an email contact for the company?

I just spent 15 minutes trying to find a way to contact Cox via email regarding a possible service issue.  Finally, I found a response to a similar question that someone else posed.

Why on earth do you NOT provide such a contact?

I don't want to talk on the phone.  I don't like to talk on the phone.  My issue was easier to explain in writing.

I even attempted (unsuccessfully) to use Chat.  I clicked on the chat ling multiple times, and it kept taking me to the same support page without opening a chat window.

The only other place I've encountered this much difficulty accessing support is with AT&T.  Are you trying to compete with their low level of support?