I question the assertion that the computer could teleport you somewhere faster than your brain could. I mean, I agree if you want complete sensory teleportation. At least my brain does a poor job of transporting my eyes and ears someplace. However, if I just want to think about one thing while I am doing another, it is hard to beat just thinking about it.
And then there is the problem of you brain can think about things that aren't actually done, yet. Computers can certainly help in this regard, but they are more about sharing something that was done in a different way. Consider walking through a house. Sure, a computer can let you walk through one that hasn't been built physically, yet. I'd wager skilled architects can imagine walking through one that hasn't even been built virtually yet.
And, finally, there is the problem of thinking about data structures that are literally gigabytes in size. I have a hard enough time thinking about ones that are megabytes in size. I'm not entirely sure accurately visualizing large instances would really even help.