The new Stiller Predators are not the same as the old ones. I've owned a couple old versions, and now a new one. The new ones have a one-piece bolt, same as the surgeon, and the new ones have a pinned base, same as the surgeon. I'm sure that Stiller came out with these changes in response to the RSR.

I've never owned a surgeon, so I cannot compare the two, but a Stiller action is great. Given that you want to run a Wyatts, the Predator seems like a good choice as it's already set up for that.