A gif of a character moving out of an AoE attack long before it goes off means absolutely nothing. Just eyeballing it, it appears that you were out of AoE for well over a second. You'd have dodged this particular attack every time, unless your connection is abysmal.

Even if you had posted a close call, it wouldn't necessarily disprove the dozens of gifs and videos floating around which show a very obvious delay. If the server only checks your character's position every 300 ms, and it's been 295 ms since the last check, then you only have to compensate for 5 ms of server delay. If on the other hand, there was just a check in the last 5 ms, you'll then have to compensate for 295 ms of server delay. This is on top of any delay you may have due to your connection.