Earlier quoted context omitted.
Not sure if that's the case. While I love manual transmission, I would rather argue that it is more dangerous as you're often forced to have one hand away from the steering wheel, which makes it harder to react quickly.
This is truly a non-issue once you actually learn how to drive a manual transmission well. It isn't like people keep both hands on the wheel anyway. I'd even argue that people with a manual transmission might react more quickly since they are used to at least keeping both hands readily available anyway. If it is that urgent, you forgo shifting the car.
Of course it doesn't feel dangerous if you always do it that way. But that doesn't mean that it isn't. But as there are probably no studies for that it's just speculation.