[Beasty]

If you use corki, you deserve everything you get. He's a shit tier champ.

As for the others, they trade off hard cc for high burst damage in the early game. That's why you see so many trists and Lucians paired with morganas. So as long as your support can land a snare or two you won't need to worry too much about reducing their movement speed, because you'll essentially keep them from getting xp from the minon wave and you will eventually outlevel them without the risk of needing to commit to a kill.

Of course, I'm not trying to claim that you should never use exauhst, not am I trying to claim you should always take support tele. My point is that it's situational and a single tele can literally win you the late game. I just don't see the huge necessity of an exaust on a support, it just seems more like something you'd use to shutdown a jax gank, so tbh I just thought the benefits of a mobile tank outweigh the benefits of bettering your trades in a lane you could easily win anyway.