I just don't see how something so simple cant be understood?
Simple. Because you are saying that it is easier to stop a smaller tyre. True. but at the
same vehicle velocity, when you take into account the weight of the omega, then the difference you are talking about is negligble.
If on the other hand, you were on a car lift, accelerating with no car weight to carry, then yes the smaller tyres would proably stop quicker. I suspect you could prove this by using the angular velocity equation?
Comparing like for like, at the same speed, the inertia of the car is the same, irrespective of the tyre size. Braking reduces the inertia. The first limiting step is tyre contact with the road and that is what usually lets go first. The next thing is pad size/friction. Then the lever action of the brake. In your case you have changed none of these (or rather gone for a smaller tyre contact patch), so how can you explain the benefit?
Happy for you to explain it to me mathematically if you prefer?