I brought it up here because I didn't want to get into any of the LRF shitstorm.
I've been leery of chains until about 12 years ago when Bill Gill dragged my brother's jeep off its belly with a grade-80 chain without any drama. The chain, compared to steel cable, practically does not stretch, and supposed to fail in a way more like synthetic rope (I haven't seen chain breaking, so I can't claim knowledge). Chain is a lot cheaper than a good quality recovery rope, and it doesn't get fucked up when someone you're recovering runs over it (I probably discarded about $150 in recovery straps damaged this way).
On the other hand, your words somewhat reflect the type of off-roading you do - more mud than rocks.
Well chain does stretch. Likely more than steel cable too, but that's not the issue.
No it doesn't fail like synthetic rope. Synthetic rope fails in a safer way because it has less mass (weight). There is no comparison.
Chain is not cheaper than a quality strap that can be use in BOTH a static and dynamic recovery, since a quality nylon recovery strap has up to about 10% stretch. You can drive over a strap just fine - just don't spin and get it wrapped around a tire. The same can be done with synthetic winch rope - I prefer people drive over it and stop somewhere safe instead of freaking out about driving over it and stopping 3/4 the way up a hill. It's not going to hurt it. We do it all the time with all our gear.