Flew both of them, but I have many more hours on "not moving"..
I personally don't like those who are trying to convince the others that one system is better than the other one, these are just opinions.
That being said, on Airbus you are supposed to keep your hand on the thrust levers as well as on Boeing and you can "help" the autothrust in any moment. If you feel you need to.
I personally do not see any advantage in having my hand rallying forward and back all the time to follow the autothrust.
Airbus and Boeing pilots make the same mistakes, they just do not crosscheck properly their instruments and many times they keep their hands on the armrests.
My opinion: there is no safer system here, and I prefer the not moving.