^ I'm referring to the point where they're already on the planet, making assessments. Spock detects no readings of any battle whatsoever. That sends up an immediate "red flag". Something else is going on, something unknown... and Kirk should have turned to Anan immediately on that finding and said something like "You warned us not to come, but we were compelled by a Federation diplomatic order. We don't see any danger here, nothing detected. Is my ship in any danger at all?" Anan would then have broken it to him, and then the very next thing Kirk would have done is have the Enterprise move off to a safe distance.