Even when the brakes are good, the tires are thin and don't have enough traction to go from 40 to 0 in under 2 meters.. learned this lesson the hard way, but still very worth the ebike conversion.
To go with what you’re saying - my road bike runs 28mm 65-80PSI tyres. It has a patch of each tyre touching the ground which is about the size of the tip of my index finger, maybe less. Very easy to lock up.