Deliberate mistake: In Saw III we learn that Amanda was the person who abducted Adam from his apartment. However, if you watch his abduction in the first Saw film, you'll see that the person attacking him has the hands of a middle aged man.
Deliberate mistake: The scenes where the left, then the right foot is being twisted are the same shot, just flipped. You can tell because the blood on the foot and the blood on the machine are in the exact same locations in both shots.
Answer: Adam didn't just lose because he let the key get drowned. He had the two hacksaws and he broke his own in a hurry. And there was also the toilet lid that he could have used to smash his foot like Eric did in Saw III. Jigsaw never said that improvising or thinking outside the box was against the rules. So even if you wipe the key out of the equation, Adam still has at least two other ways to release himself from the chains.
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