Many people often forget that it is a team game. Many people states, that assassins are balanced, because they can be beaten on lane, and especially in low-elo they shine, because there is no team protection.
An assassin kills a non-tank enemy, and escapes in like 2 seconds. Let see what you can do about it.
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You need emergency to survive the burst.
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You need CC to kill the assassin.
Having one of these can make it draw. You need BOTH to make it a win. And short CC is usually not enough. With all the reaction, and casting, and reaching times. You need at least 3, or more seconds.
What makes it worse is, that Assassins have much lower CD, than most emergency. Lulu can negate a full assassin burst with ult. But it has 48sec. CD even with 40% CDR at rank3. Zed ult has 60sec. on it's own. 36sec. with 40% CDR. Lux has 40sec. on it's own. So a 0 CDR Lux can use full combo more often, than a Lulu can use emergency with 40% CDR.
Now okay. You get an enchanter support. Which is kinda unlikely, because kids prefer mages for killing, or Pyke for same reason, and you get enough CC. You beat one assassin. Now you are going into the rest of the enemy with CD on most CC, and emergency. Or even worse, if enemy got someone to engage, and team wastes these on it. Or they got 2 assassin.