Answer:
Yes, I agree. The pressure exerted upon the floor is larger for high heel shoes than flat shoes, hence causing more damage to the floor.
Step-by-step explanation:
Pressure is force/area. High heel shoes have a sharp point at which they touch the floor, while flat shoes have a flatter surface at which they touch the floor. Due to you exerting the same force anyway, the area is smaller for high heel shoes.
As you might know, the smaller a denominator is, the larger the number is. As an example, 3/1 is larger than 3/2. 3/1 is 3, and 3/2 is 1.5. Hence, the force is larger for high heel shoes, and it will cause more damage.
Hope this helped!