That's a cheap/poor ABS system. A decent system is a "4-channel" where each tire is monitored and managed independently.
In that case I admit that I've only ever driven vehicles with cheap/poor ABS systems that modulate the overall brake pressure, rather than each wheel individually.
In that case I can see that a high-end four channel-system could result in a shorter stopping distance under most conditions. The wheels with the most traction get the most braking, while if one wheel hits a slicker spot only the braking on that wheel is relaxed.