The brakes being sharper might be due to the brake dust being washed away by rain. With no brake dust on the disc and pad, the brakes might have performed better.
Its prudent that we slow the car using engine braking and stop the car using clutch and brake for effective braking. Engaging the clutch prematurely disengages the engine (along with the benefit of engine braking), which translates to more input force on the brake pedal.
WagonR has a comparatively lower kerb weight than the Swift hence would require less force. With the same amount of force, the distance would be lower.
Ameyam