A similar service is Wuala (https://www.wuala.com/), which is owned by the French company LaCie.
They say your files are encrypted using AES-256 before they leave your system and the key stays with you. Apparently the only thing their employees see is the number of your files and their size.
Their servers are in Switzerland, France and Germany.
So why do they want DNA? Ask the State Department. I'm not a geneticist, but if it was completely useless they would not be collecting it.
My point is that the current infeasibility of collecting everyone's DNA could be the only reason they're not doing it.
Edit: And ask the NSA or FBI if they'd like to have the DNA of every possible terrorist (and, incidentally, yours and mine).