It can be said that braking around a corner is an art in driving. How to brake around a corner is really a talent in driving. When a driver applies the brake, weight is transferred forwards from the back wheels to the front wheels. In a corner the weight is transferred outwards from the inside wheels to the outside wheels. To get the handling balance required, the designers adjust the front and rear spring stiffness accordingly.
If you try to brake hard and corner at the same time, it will be pretty easy to lock the inside rear wheel and start a spin. Even the sudden removal of power from a front wheel drive car in mid corner can initialize a spin.
It is possible to brake gently in corner and keep control. But in case of an emergency in the mid corner, a driver is force to brake hard, loss of control is much more likely than if the driver was braking in a straight line. It is always safe for the driver to brake before the corner than halfway round the corner.