Is that S-hook on the end of the chain the setup you're using for the Fiat pull?
Looks a bit light in the photos but maybe it's spec'ed high enough.
If you can spare the length and if it fits, consider inserting a hitch pin in the drawbar with the chain looped around it and the S-hook stuck through a chain link as one would securing a trailer safety chain.
That could also help the winch stay in-line with the pull.
Yeah I may not use that hook at all, in fact I was actually considering using a hitch pin right through one of the chain links, or bolting the chain to the winch plate with a 3/8" bolt through a chain link. But in all probability, I won't be using the S hook. But I'm sure it'd hold 800 lb anyway.