No, it is not the definitive statement on the subject raised by the OP. Mr. Leifer was addressing the question of "why so much of sports photography is done with sequence cameras?" At no time did he indicate that he never shot for "peak action single shots." It also was no coincidence that he used football as an example of the advantages of shooting high fps. Burst shooting in football is absolutely appropriate.
Later in the interview, he talks about shooting with strobes which must be shot with a single click. To this day at the NCAA Final Four, Sports Illustrated will install 12 strobes for their shooters (3 in each corner of the court) plus an additional 8 strobes each for the AP and NCAA photos. Some shooters will shoot ambient (in this case it is very, very good ambient) but others will use the strobes. Since they have a 3 second recharge time, a one-shot technique is required. Those shooting ambient will use the advantage of high fps.
This is also the decision that must be made every week for indoor sports at the middle and high school level. Go ambient at high fps or single shot with supplemental lighting (strobe or speedlight). Both techniques have benefits and limitations. Trying to shoot ambient at many high schools will result in noisy images (from high ISO), thin dof, light cycling, poor skin tones, variable white balance, and anemic colors. It also has the advantages listed by Mr. Leifer. One photo service that I shoot for will not accept high school basketball images unless they are strobed.
The complete photographer will be proficient in both techniques and choose the one most appropriate.