I had a couple made by our local wire rope splice place - starting at 1/4" and the two sizes up from there. I took it back off because of the ends being bulky, and my swivel getting stuck on them, then slipping over or off them - it jerks you.
Also, the extreme bend in wire rope isn't all that great - bend a wire back and forth a bunch and you'll know what I mean.
I watched the video of the guys cutting their bridge, and I thought wire was the way to go - maybe I didn't go fat enough - if you did, you might not have an extreme bend. But it will get pretty heavy, and your swivel won't slide well.