@MissTina Great question!
In my experience the sound that crampons make is pretty negligible, particularly given all the other noise one makes on the trail. When you put the crampons on your boots, they should be snug enough that they don't 'jingle' too much or make shaking noises. They may add some noise (scraping on ice or rock, an occasional clank of metal on another hard surface), but I don't think it will be enough to impact your ability to see wildlife.
In my experience, seeing wildlife is more about being prepared, observant, and going at the right time of day. If you're able to find a place where you can stop and observe for periods of time that is helpful as well.
Hopefully this helps, thanks!