If should be noted that Bard has a mechanic where they cycle between 3 songs that affect certain abilities (Army Paean, Mage Ballad, Wanderer’s Minuet). In fact, their core gameplay relies on cycling the 3 songs.
Several of those abilities on your list are role skills, which are of questionable usefulness. Most bosses are immune to Leg/Foot Graze, Head Graze will only get use if your tank is not interrupting (FFXIV doesn’t do interrupt rotations within a party; it instead gave interrupts only to tanks and ranged physical, but spaced out abilities that need to be interrupted enough that a tank can interrupt full time without anyone else needing to do so). Peloton helps running faster out of battle.
The reason I say all this is because aside from role skills, Bard has that number of abilities as a result of its mechanics and gameplay loop, the fact that in concept it’s a “support” job, and the fact FFXIV jobs are designed within a specific template (14-15 abilities from lv1-50, with a new ability or trait gained every two levels after that).
That said, the idea of BM hunter cycling between aspects as their DPS is split between them and their pet might have potential.