You are stuck on one aspect that was not a key theme of the movie. Had they spent time directly unpacking the issue of torture it would have muddied the movie and made an already very long movie much longer.
If they don't use torture as the causality for one piece of evidence then there is far less dramatic interest from the start, a frighteningly substantial part of the GWOT is not part of the movie and they then can't directly address the fundamental shift in the GWOT once Obama comes into office. (I mean, FFS, Maya CLEARLY shows her ambivalence to the use of "extraordinary rendition" and a few of the allusions later in the movie show it wasn't a good thing).
So yeah, if you're still hung up on the efficacy of torture in the real world (which is likely minimal) as opposed to the way it was used to advance the plot, was not at all a major theme of the movie and ignores that every other event was about as accurate as we will know...fine.