Personally I never used cowstails anyway in Antler Passage. There are a number of ladders in place, but I doubt every drop has one.It's worth remembering though that there are still plenty of areas where falls could happen, and care is still needed. I'm not sure what you used cowstails for originally, so can't comment on whether you might feel you still need them. If it was for protection getting on and off the climbs, then I assume you'll still want them to protect yourself on and off the ladders.
It's probably also worth thinking about what you'd do if you fell onto your cowstails anyway (I assume you're not going to wear a harness, for example, and probably won't have any way of getting yourself back off the cowstails either if you end up suspended in space).