This true. Once you reach the point of "slide" then only the sliding coefficient of friction between you and the road determines how far the car will travel. In the case of narrow tires versus wider tires, wider tires wins on the break-away force required and the resultant sliding coefficient of friction.
If in putting on new tires/rims you find a case where you CAN'T slide the tires, it means braking force between the brake shoes and the drums is LESS than the braking force between the tires and road - and some attention to the shoes/drums/system is necessary to achieve braking to the fullest extent possible allowed by your car system.
In truth, sliding friction of the tires is NOT the optimal braking condition. Somewhat less pressure on the brake pedal does this. A condition is desired where the tire rotates slightly at speed less than the travel of the road underneath. This so that new cool rubber is continually presented to the road/tire interface where sliding contact and heat occurs. ABS brakes TRY to duplicate this optimal condition without human interplay or control feedback.
But if you're able to slide the tires, you will probably have a condition where slightly less pedal push will result in a nice optimally short stop.
Gosh, I once drove a 1936 Ford truck that had been retired as a fire truck. Minus the rear body and all the firefighting appointments I could NOT stop that truck without skidding the tires. EVERY TIME it would lock up and would be the devil to control going into a stoplight.
Think about that one.
Joe K