I know that Shimano, Hayes and Superstar adapters are all interchangeable because I've mixed and matched them all. Assuming that the Hopes are a standard post mount it should work.
The only difference that I can see is that Hope mount you post a picture of, mounts the calliper slightly further down the rotor than the others, but that's because the top bolt to attach it to the forks is above the mount rather than below like on some of the others.