The cost of asserting your 4th amendment right in this situation is that you have to sue the US government after you leave the airport, or invoke the 4th amendment as your defence if they charge you with one or more crimes.

I think most people lack the resources and the wherewithal to do either of those things.

And in the process of asserting your rights you may inadvertently commit a crime for which the 4th amendment isn't a defence.

Like most self-defence, the best option is to avoid the situation entirely.