What I see around here is mostly grab hooks, maybe it's just local style. I guess the advantage of grab hooks is that all you need is a length of chain to grapple or lift something. With slip hooks or looping chain around the bucket as I do, chain plus grab hooks, a load binder, or something to fix the chain is needed. Sometimes my chain with grab hooks on it isn't real handy.
On the other hand, if I want to grapple something very tight, I usually end up using a load binder anyway. It's a lot of trouble trying to pull chain tight enough around something and then getting the right link in the hook. Since I use a binder a lot of the time anyway, slip hooks probably would work well for me. However, I would have to keep in mind that with slip hooks, overhanging loads could topple and just pull the chain around with it.
Hooks, or not, the one thing I don't do is pull anything from the bucket. For pulling, I have a 1" clevis that fits neatly in one hole on my draw bar. The clevis loop is big enough so chain with grab hooks runs through it, which makes hooking on to something a snap.