We had a decent snow storm a week or so ago and as I was coming home and pulling onto my road there were two vehicles in the ditch and a Dodge Dakota was trying to pull one out. I stopped and let them know I can bring my tractor to try and help. Its a compact LS tractor so I wasn't sure how helpful it would be. I think the biggest advantage was just how much more maneuverable it is compared to the truck. We were able to get them both out in the end.
I do not have a lot of experience extracting vehicles but you can see what we did in the video below.
Snow Rescue - Pulling 2 Vehicles out of a Ditch with my Tractor - YouTube
Interesting tow job with a small tractor.
As far as pulling with a front loader,
I have pulled many times with a loader using the loader lift and bucket curl to pull more then I could pull with a traction pull.
In your case I would have been tempted to use less strap and get closer so as to use some lift while pulling.
That said I would not attempt to yank someone out with the loader when it was not a straight line pull.
As far as pulling people out of ditches I keep a chain and or strap in the truck and the tractors all the time.
I seldom connect the chain to the stuck vehicle, I let the owner do that usually.
If the vehicle doesn't have a decent easily accessible tow point it will be extremely unusual for me to get down and try to crawl under and get a good hook.
I'm to old to get down and then try and get back up :laughing: in the mud or snow.
What normally makes my decision on wither or not to pull some one out depends a lot on their attitude and behavior.
The vehicle condition and what the circumstances are that they are stuck.
The main road that leads to my road is the road to a ski area, smart mouthed yuppies with fancy cars and bald tires,
I'll stop make sure that no ones hurt and that they have cell service and then go home.
If they are a local or even a tourist that had trouble getting up the hills because the roads are slippery,
I'll usually give them a hand.
Also I have a sturdy tow hitch that I can easily hookup to that allows me to have considerable puling force as it is high enough that
any load is pulling down on my tractor.
Does that violate the safety police only pull by the drawbar, Yep.