Bullshit. The automatic can't read your mind, hence it's always trying to catch up with what you want. They are good for straight lines.
Bullshit. The automatics all support a manual mode now, whether it's implemented in your car or not. A very fast human driver can shift in maybe 250ms, average is maybe 500ms and in most vehicles closer to 1s. A mediocre automatic transmission shifts in 400ms (the good ones from the nineties will manage this) while a very good one will do it in 200ms. But about since the same time they went to five-speed, they also became dynamically controlled. While typically retaining a classic limp mode, such transmissions also dual-engage gears while shifting, making most shifts basically imperceptible. A driver can make a tiptronic shift while under power in a corner without upsetting the balance of the vehicle, something you can't do even by heel-toe shifting.
A good automatic transmission is better than even an expert human with any manual short of a dogbox. Even a SMG is faster than a dogbox. A DCT is an order of magnitude faster than a SMG. There is nothing faster than a DCT... which can be fully automated. The latest ones are even said to be fairly smooth when they do that.