If you stipulate that everyone must be relaxing at the time, sure. But the core concept of crying wolf is IMO simply a false alert with no particular constraints placed on those responding. I think in this case it simultaneously qualifies as crying wolf as well as misdirection.
Well it's definitely a false alert but I think maybe I see what's bugging you. If an enemy agent intentionally did that with the goal of disrupting operations we'd call it misdirection and it seems a bit silly in that scenario to also categorize it as crying wolf. Since there's an ongoing search that the guy was aware of you view this the same way.
But have you considered that the criteria arose organically as opposed to being engineered top down to account for edge cases such as this? I think in practice the term can probably apply to any instance where you might consider the longer term reputation of an individual or group that is separate from the response team.
Basically you've decided the two things must be mutually exclusive but haven't provided any reasoning or precedent for that constraint.
Think of it like this: if this same story was happening a couple of centuries ago, pre-Internet, this person who just got arrested would have been sitting at their balcony, crying "the wolf is here! down at the intersection!" ; causing the hunting team to waste time.