I disagree with you, because a modern human could offer the people of the distant past (with their far less advanced technology) solutions to their problems which would seem miraculous to them. Things that they thought were impossible would be easy for the modern human. The computer may do the same for us, with a solution to climate change that would be, as you put it, magically ecological.

With that said, the computer wouldn't be giving humans suggestions. It would be the one in charge. Imagine a group of chimpanzees that somehow create a modern human. (Not a naked guy with nothing, but rather someone with all the knowledge we have now.) That human isn't going to limit himself to answering questions for very long. This isn't a perfect analogy because chimpanzees don't comprehend language, but if a human with a brain just 3.5 times the size of a chimpanzee's can do so much more than a chimpanzee, a computer with calculational capability orders of magnitude greater than a human's could be a god compared to us. (The critical thing is to make it a loving god; humans haven't been good to chimpanzees.)