With sports and action high frame rates are indeed useful and can result in more useful photos. 60fps seems like overkill though.
At record peak speed, Usain Bolt moves about IIRC 20cm between frames at 60 FPS. That means that if you want a frame where he has legs and arms at wanted position, you need that 60 FPS.
Same thing is motor sports or aircrafts acrobatics, women gymnastics, fencing, classical dancing like ballet or modern dancing etc.
And who says you need 60 FPS at multiple seconds?
In cameras you can set a limiter like only 60 frames at 60 FPS or 15 frames at 60 FPS. That gives you 1 second and 250ms sequence lengths.
Combine that with example pre-capture of 60 FPS speed with 45 frames buffer and you can capture 750ms before you even reacted to action, and then have example the 15 frames as addition to it, 250ms after your reaction.
That saves space and time to go through the sequences because all your sequences are something that you saw, not what you predicted. And so on in all sequences you have something that triggered your interest.
Just point your camera at area where action will happen while keeping focus locked, and moment you see to come, press shutter release button and you have all.
Most action happens at predictable distance from the camera or position, be it a bird taking off from branches, athlete throwing or hitting something, car in a corner or jumping in air, a kid in a swing or dancer performing the move etc. All you need is to get DOF around the target or the position and capture the moment by timing.
In street photography the "F8 and be there" is with deep DOF most often and you can just keep using those to get the "defining moment" when person walks around the corner, the glance etc.