This should not be a viable team
Because you literally just stack a single type of champion design, which riot fails to actually introduce sufficient counters and/or fails to nerf appropriately.

Mobile, Burst, AD fighters. Call zed what you will, it doesn't change the actual design of his kit.
There are very very few example of AP building champions dealing consistent damage and the only one that i can think of is left in the dumpster because of how powerful he is when he isn't. 
So i really don't see why these champions being given damage pattern opposite of their offensive stat's innate burst pattern and built-in defensive tools is not considered equally problematic by riot.