It really does not matter. In a free democracy there should be no surveillance of innocents. The sole feeling of being watched alone changes people (someone help me with the citation here).
I agree with the sentiment, although I might rephrase it as "There should be no surveillance without a warrant," since in some cases you can't know who is innocent or not without doing surveillance. A warrant is a good implementation of due process for people you want to investigate, but who are still (in theory) presumed innocent.
http://ordinary-gentlemen.com/blog/2013/07/19/if-criminals-i...