Of course, the actual music does not really slow down, nor change in pitch, nor timing (unless stylus drag actually slows a turntable down!)..
But our perception of when the beat starts is affected by the arrival pattern in time of the first transients of a note. If the leading edge is sharp, not smeared in time, your brain will snap into recognising the start of something special. I am suggesting microseconds here! Get this right, and you’ll likely find your foot tapping ...
Seems plausible.
The type of music you’re listening to matters in term of whether PRaT is relevant.
Perhaps I simply don’t understand how you are defining PRaT or perhaps it’s the fact that how rhythms are presented by a system is vital to my engagement as a listener, but either way, I’m having difficulty grasping how any genre wouldn’t benefit from a system that presents PRaT well. . . unless one is solely listening to ambient music that "hovers" in space.