If you don't have a consistent model for why rulings go a given way, you can't make consistent rulings in future cases, of which there are always plenty.
I'm looking forward to if/how JC answers the follow-up tweet and explain either how Uncanny Dodge doesn't work if the original damage knocks you unconscious (making it Uncanny Heal), or that somehow part of the effect happens before Uncanny Dodge and part after, or the admission that he hadn't thought it through.
You might have a point if you were talking about an ability that caused unconsciousness on a hit, rather than unconsciousness as a result of the damage. In the latter case, the unconsciousness is an effect of the damage taken reducing your hitpoints to or below 0. That only occurs after the final damage is determined and allocated. Uncanny dodge intercepts the damage allocation portion and modifies the total damage prior to allocation. You don't allocation the full damage and then add back hp to make up half of it. Uncanny dodge halves the damage prior to allocation, and so the conjectured situation isn't at all analogous to shocking grasp.
With shocking grasp, the prevention of reactions is a function of the hit being successful, not the damage being applied. Since uncanny dodge requires a hit as it's trigger it can't be used against shocking grasp because the very hit it would react to has the effect of preventing reactions. Put simply, if I hit you with shocking grasp, you lose your reaction immediately. If I hit you with a non-shocking grasp attack, though, you don't lose your reaction, and so can then use uncanny dodge against the hit before damage is determined to halve the damage before it's applied. After the damage is applied, you check to see if you're unconscious from the damage. The full damage rolled for the attack is never applied, so it doesn't matter for this check -- only the halved damage is ever applied.
For the same reason, I wouldn't allow shield to be used as a reaction, either, mostly because it has paradoxical results if the shield doesn't prevent the shocking grasp from hitting -- at that point, you've reacted to something that forbids your reaction.
And, of course, this is a ruling, not a rule, so please feel free to rule in however you wish wherever you play - I'm making an argument for my interpretation and not an argument for how you must interpret it.