Are they on long-lines? Are they on different long-lines with one twisting and one not. Whichever longline is working properly holds the solution.
Anti-rotation lines have a pre-twist in them and get tangled up like crazy as the twist comes out. As the bucket is not prone to rotating on its own, it is OK to really use any kind of acceptable long line (ie: not necessarily anti-rotation line).
Kevlar or Plasma lines will eliminate the problem entirely - check Can-Am out . The only other solution is a swivel above the control head. If you want to check it out, just watch the K-Max's!
How are those 214's doing anyway, Garry?