well he had plenty time to learn...etc.
To reiterate:
Peter the Younger, a black hole is something different; if the two ships had not caught their respective eddies, they would have been crushed -- not pulled into a different time.
This is not garden-variety time travel. There is no way for either of them to know where they'd wind up.
I got this from Orci's Q&A.
And yet, it was Orci and Kurtzman themselves who wrote the line in the script stating that Ayel had calculated the time and place of Spock's appearance, so they themselves are saying this is calculable. I take his statement to mean there is nowhere to know where they would end up in advance, i.e., to aim at a particular time period.
I also don't see anything in his statement from the Q&A that would suggest this isn't garden variety time travel (man, only in Star Trek can we use that phrase!) Generally speaking, relativity is relativity, the same basic rules apply, and when you're dealing with singularities, we're almost certainly talking relativistic time travel. Bend spacetime enough in the right way, and it folds back on itself. Move one apature at velocity while the other stands still, and viola, you've made a time machine. Enter at this trajectory or that trajectory, and you come out at Point X and Time Y. It's entirely possible to calculate it. Hell, there are physicists within an hour's driving distance from me who could calculate all sorts of whacky time travel scenarios - they won't admit it's physically realistic, but they can sure as hell do the math.
Any spacefaring civilization that bends spacetime as their primary means of travel is going to have many, many people with a working knowledge of this sort of physics. Sure, they may not have personal experience with time travel, that doesn't mean the math is completely alien to them.