Curious as to what system you are running. Do you have a crappy computer?
I have never had a problem dodging aoe, save a few abilities that require some anticipation to get out of.

I think some people rely on watching other people move out of aoe which = fail. Because you are watching something that has already happened, and will always get hit if you do this.

The other thing its not about where you character is on the screen when the animation finishes, its about where you are when the cast finishes.

I think one of the above issues is the real underlying issue for people. And again rather than blaming the connection, maybe upgrade your hardware.

I have yet to see a ps4 player complain. My system is pretty boss as well.