Imagine this scenario: Copying and pasting a debug log, realizing it contains personal or important information (such as password, SSN, or anything else) and it is sent to the agent before you have a chance to redact that info. Or it could be accidentally pasting the wrong thing. I know that I've accidentally pasted Twitter links into my code before.
EDIT: Just to clarify my point. If you're going to break deeply entrenched user expectations, especially in ways that are often used maliciously: explicitly say you are subverting those expectations.
The same reason there are "This call may be recorded" messages when calling in, it shouldn't hurt much to add a "For quality assurance purposes, your keypresses may be logged in the chat window".
And if it does hurt, then you should realize your subversion is malicious.