A search is not "consensual" if it is forced upon you.To: exodus
If a man points a gun at you, and says "Give me your money or I'll shoot you," you're not forced to give him your money because you could always say "no."
A parent tells a child, "If you don't come into the house, you'll be sorry!" The kid's not forced to come inside, he can always say "no."
I'm not being facetious. It's only a matter of degree from what you're saying.
A man who's livelihood depends on air travel has no choice. He must fly, or give up his job.
If I have a three day vacation in Hawaii, the ONLY way I can go is if I fly to Hawaii. Any other method is impossible.
Force is force, whether a "little" force, or a big one.