I suppose it might. Although, it could also be mis-interpreted as a contradictory suggestion, and undo whatever it is you are trying to achieve with the body.
I would suggest trying to re-engineer your induction around this issue by strengthening the total depth achieved and introducing the idea that the awakener will be explicitly mentioned as it is performed, and that things that may sound like an awakener are not actually the awakener. You could also try some audio toys, like (my personal favorite) a metronome, or binaurals, or isochronic tones, which will help keep the person down and under.