Why wait for the AI to get techs when you can get them yourself faster?
Because ideally, you research the tech the AI's won't research, and then trade for the tech they do research. The tech pace then can have a sub-4 turn rate per tech this way, even if it takes your empire 7 turns to research a tech this way, as long as the AIs get the other tech in 7 turns.
The reason you are getting more techs from the AI is that you are giving the AI longer to get them by not researching yourself that quickly.
No. Look, let's say I have 4 turn research, and it takes an AI 7 turns to research a tech. First, I research one tech I know the AIs probably won't research (like Electricity) at 4 turns, while letting the AIs research another tech (say Industrialization or The Corporation). Even if you finish off Electricity in 4 turns and then research The Corporation in 4 turns, you'll save a turn by buying the last little bit of The Corporation. How does one pick the AIs research rate? Get them away from researching junk technology (as in consider gifting them Communism, Fascism... I didn't do this), try and keep the best ones out of wars (that would make three of them in my game), and *get them growing* (I didn't do this... I wish I had)... read get them Sanitation... at least as soon as you have a lock down on Theory of Evolution if not earlier. We all pick up the tech pace in ancient and maybe middle ages also by picking the right tech to research and trading. So, why not try to do it in the industrial ages and modern? I'll need to try this out myself a lot more, but that the AIs can help pick up the tech pace in the modern age, don't take my word for it... take Archphoenix's. He may have had a 4 turn research rate in his game, but he says that's not it. He had a faster finish date than any Deity, Demi-God, Emperor, or Monarch game so far. On Emperor even with a 4 turn research rate could he have had a faster finish date? I think not, since the AIs won't push the tech pace as much there.