I think that since Taric himself is both immobile and short ranged, him having a point and click stun is not really problematic; most other champions can easily counter it by not running/dashing/blinking into Taric's face. Also, Taric himself has low damage and can't solokill you in a stun the way Annie or Syndra can. So the counter is even more specific: don't try to 1v2 Taric and a high damage squishy.
Protecting high damage squishies is, of course, a large part of the point of the support role, so it's fine for Taric to be excellent at it (IMO). He has poor engage and completely lacks poke, weaknesses he should probably keep in exchange for making his allies much harder to kill while they are close to him. But he's immobile, so in order to stay near him, they have to give up some of their own mobility; or, if the situation is dire enough, they can bail out on him, in which case he is likely to die surrounded.
The main problem I have with him is the hidden power of his W passive and ult, and I hope the rework focuses on those. Not because they actually make him weak, but because they make him FEEL weaker than he really is, both to the person playing him and to teammates.