Hi All,
I'm not exactly going to go against the grain here on using chain--it's extremely durable stuff, and far less likely to break on you. That being said, good quality rope or webbing that is taken care of will rarely fail, provided you are working within the limits of the rope/web.
The abrasion factor, and long pulls over erratic ground are the only times I use chain... contact with the ground, rocks, trees, & times when a rope could go herky-jerky (pulling vehicles speed is erratic) rope/synthetic is much lighter, stronger by weight, and the elasticity (which is it's drawback when it breaks) is it's strength in applications where your vehicles traction limit is exceeded, which is usually before your vehicle's towing limits in off-road applications. You can stretch it out & put the energy in it, then let it get the load moving when your momentum stops.
Snowbank and back-road truck-truck applications are where this became apparent to me... when the chain gets taught both stop, when the nylon's stretch is met often the front vehicle stops, then the stuck vehicle follows.
So, there's my answer: "It depends"