The performance of the propaganda system in covering(up) the Bush/NSA totalitarian police state surveillance program is highly impressive. I just did two Google News searches, one using "warrantless surveillance" and the other "unwarranted surveillance."
1,690 hits for warrantless surveillance. 2 hits for unwarranted surveillance.
"Unwarranted" is a far more common word, as shown by 10 million hits, as opposed to 3.4 million for "warrantless" (a number that was probably much smaller before the propaganda system began evading the unwarranted nature of the current police state program.)
Using "unwarranted" makes clear from the get-go that the program was bogus. This however is not what the propaganda system is paid to do. Hence, "warrantless" is 845 times more likely.