Bigger brakes make
literally no difference in a normal non-track stop. It's impossible for them to do so.
Stopping distance is a function of the tires in such situations.
The only time bigger brakes matter is when you're making your 10th back to back stop from speed, not your 1st.
For a deeper dive into why, see this article-
GRM Pulp Friction
It explains what each piece of a braking system does, and does not, do, and why ultimately the only way to actually reduce normal braking distances is to put stickier tires on the car.