I switched to 1/8 inch cable a couple years ago for a few reasons.
#1 I have had yotes chew 1/2 way through 3/32 cable, mostly I believe cause there was exposed cable during the catch. Most cable stakes come with 18 inches of cable attached and in my soil conditions, 12 inches holds fine. I found that by ordering my cable stakes, I could get whatever length I preferred and also went to 1/8 inch cable at no extra charge.
#2 Another reason I switched to 1/8 inch is because I use an Ez-Hooker for removing them after the season. This tool acts as a prybar to exert enough pulling pressure, without hurting my back, to extract the cable stakes. My 3/32 cables were I'm guessing 6-7 years old and I was breaking a few cables each year while pulling them out. Since I switched to 1/8 inch, I can say I haven't broke one since. I did have one that became unwound during a catch and that can happen if the swivels get full of debris or long grass.
Anytime you use cable stakes, you should set the stake. Setting the stake means after you drive it in and remove the driver, give the trap chain a good pull to turn the stake sideways down in the hole. Your ability to hold an animal depends on how well the stake binds within the hole. I have had maybe one stake every other year actually pull all the way out while setting it. If a coyote would have set this stake, it would have been gone, trap and all. By setting the stake,you also get a feel for the soil conditions. Sometimes after a wet period,I can pull the stake back out of the ground with minimal effort so it's always wise to set your stakes.
Terry