The problem is that an inalienable is not non waiverable. You can waive your 4th Amendment right but you still have the option to revoke that waiver. The issue with disallowing a waiver of 4th Amendment rights is that you'd need an attorney and the court system for everything. It's also a personal freedom issue. Shouldn't a rationale American citizen be allowed to waiver their rights if they want to? I don't know. It's a balance of virtues issue. On one hand the restriction such a rule would place on government authority would be huge, but then the additional legal requirements could backfire on the gains.
You can't consent to an unreasonable search now. That's where I think a lot of people go wrong. They really just want TSA searches to be unreasonable and therefore illegal. Except, unreasonable is a legal term of art that uses an objective standard. To claim it's an unreasonable search you'd have to differentiate it from DUI checkpoints. A checkpoint must not be roving, and cannot be for general law enforcement. TSA checkpoints don't move and they are searching for impermissible items not for general law enforcement. DUI checkpoints are constitutional so you'd have to prove to the court why the two differ. That goes back to the fundamental right argument. Driving is not a fundamental right so if air travel was the two checkpoints would be different and DUI checkpoint constitutionality couldn't be used to shield TSA checkpoints. Without the fundamental right status then TSA searches are as reasonable as DUI checkpoint searches or parole officer searches or police searches. So with TSA you are consenting to a reasonable search not an unreasonable one.
And thank you for being civil. I'm more interested in the workings of law than I am TSA specifically. It's like being a coder that reverse engineers software because they want to see how it works. I like being called a "dictatorship apologist" as much as a coder likes being called "hacker," "cracker," or "thief" by software companies just because you want to understand how something works.