I think one of the big things about a chain hook is that since you can hook it anywhere on the chain, you can set the length more easily than if you had a large hook or ring where you would have to double your chain back and hook it to itself to shorten it. Or if you have a bare chain or chain with hook on only one end. I think it's useful to have chain hooks and one larger hook/loop/d-ring etc.
Also, for those with a sturdy enough bucket, i swear these things from harbor freight are by far the cheapest piece for sale that gives you the functionality it does.
ATV Hitch Adapter
It gives you the 2" receiver (which also lets you just run a pin through a chain link fed into the receiver), a large and sturdy hoop/loop, can be bolted OR welded, or if you turn it backwards you also get a clevis pin hole. I have it mounted backwards on a 3pt a-frame on my Case garden tractor and most 2" drawbars will still go into it from the bolt hole end. I shaved that end down a bit on mine since some of my drawbars would not fit into it from that direction.
In my case having the bolt hole end sticking out is mostly to pull pin-type attachments for garden tractors, but you could also put a shackle through it just as easily.
Could also mount it upside down beneath top bucket lip if you had a reason to. It puts in a lot of good work for $11.