Depriving someone of their liberty, even for a few hours, is a big deal. That's why compensation for wrongful arrest runs to $5,000 - $10,000 per hour.
In cases of bomb threats and security breaches, qualified immunity is going to provide significant leeway when dealing with IEDs. Since most high-schools have strict anti-weapons rules, you can get arrested for a swiss army knife. Again, this is not the same thing as an apologia for a perp walk of a 14 year old. But if you want to see a "false arrest" look at what happened to the Blake last week in NYC. That was an unreasonable takedown of a private citizen with no effort made to establish identity; and a violent arrest for a non-fleeing suspect in a non-violent crime, etc.
In this case you are dealing with an "IED" vs an "Improvised Timekeeping Device", and since the former often includes the latter as a component part, its not completely baseless. This is why you cannot fly with liquid water on an airplane--the security forces cannot distinguish (on-sight) "legitimate water" in a clear bottle from several chemicals (aslo clear) than can be combined into an explosive IED that will puncture a pressure hull of an airliner. If you insist on taking your water through security you will get it removed or be arrested.