Does the description disclose side effects, auth requirements, rate limits, or destructive behavior?
With no annotations, the description carries the full burden. The interrogative phrasing ('Is...installed/running') makes clear this is a non-mutating probe with no side effects, which is the key behavioral fact. However it does not say what happens if FCP is not installed (error vs. false), nor whether it launches the app as a side effect.
Agents need to know what a tool does to the world before calling it. Descriptions should go beyond structured annotations to explain consequences.