the sensor is fitted to the wheel and not to the tyre, so if you have a smaller radius wheel the sensor will be closer to the center of the wheel, so the speed of the sensor will be lower.
This would be correct if you were driving without tyres! However, a 15" wheel has a higher profile tyre than a 16" wheel, so it is irrelevant whereabouts the sensor is, the wheels will rotate at exactly the same speed because the total diameter ( wheel plus tyres) is the same.
the distance that the sensor makes in one turn of the wheel+tyre is less how closer it is to the centre.
less distance at the same time=lower speed
it makes the same amount of turns, but every turn he moves makes less distance.
imagine a wheel with 1meter diameter, and put the sensor at 2cm from the center, and later put the sensor at 90cm from the center, in witch case the sensor will be faster if the wheel +tyre are rolling at the same speed in both of the cases?