No, Arthas was not right about Stratholme
First’s thing first, we have the benefit of hindsight to see how badly this played out, so no, Arthas being right in the grand scheme is not up for question.
That being said, even in the moment, Stratholme was beyond his scope. The city was Raccoon City level doomed anyway but his entire approach was a reckless and trauma-driven mess after what happened at Andorhal. Like yes, the zombie army is a threat but not warning the kingdom is worse.
He was never going to solve a crisis of that scale by himself but even in the best-case scenario, his decision put the entire realm in direct danger. The cult of damned had already infiltrusted everywhere in Lordaeron and his secrecy just left everyone blind.