I have natural haul in all my casting, and my line hand reads the rod.
No rod is too slow, no rod is too fast.
Short smooth arm movements and haul will find the sweet spot on any rod, but especially on rods that are more para and flex deeper into the blank.
Cadence is at best a misnomer, and at worst, a stupid concept put forward in "The Movie"
If you must have a music analogy, casting a fly rod is
Debussy.
Effortless and casting "your will" belongs to fast progressive tapers. I dubbed my first Fisher Combo "Magic Wand" because of uncanny ability to put a 60' cast on a quarter.
Noteworthy, the short version of the Combo is all fast para, and will cast every bit the distance of the long progressive configuration.
The most effortless rod I own is a superprogressive cane dry fly rod, Thomas Light Special built by Dennis Stone, which will accurately cast the leader alone, and literally feels like it casts itself to 50' (where the taper ends abruptly with flared butt).