Not sure, but I think checking "Prime Only" essentially accomplishes this because you can only get Prime shipping on items sold or fulfilled by Amazon. Obviously is only relevant to Prime users, but at least it's something.
Using Amazon is more risky for them, though, for example, if Amazon kicks them to the curb, which happens frequently with e.g. DVD sales, they have to pay hefty money to either get their inventory back or have Amazon destroy it.
Me, I find that if I stick to sellers of enough age, quantity of sales, and a 96% or better rating, I'm very seldom disappointed.
To be fair, it's not only relevant to Prime users if you just want to make sure you are getting product fulfilled by Amazon (which definitely cuts down on the risk). I am not a Prime user and I occasionally do this to filter results.