Does the description disclose side effects, auth requirements, rate limits, or destructive behavior?
With no annotations the description carries the full burden. It does convey the important behavioral fact that it inspects the currently attached session and is non-mutating ("check"), but says nothing about the result shape, what happens if no session is attached, or whether it navigates the browser — gaps that matter for an annotation-free tool.
Agents need to know what a tool does to the world before calling it. Descriptions should go beyond structured annotations to explain consequences.