It's not just that (in regards to Pitch Perfect). It's also worth noting that two Pitch Perfects at 240 potency = 480 total potency, which is more than one 420 potency Pitch Perfect. In a situation where you have an ultra high probability of getting 2 repertoire stacks per dot tick, it's usually better to go for that instead of waiting for the 3 stack especially because of the risk of 'repertoire overflow', unless your Empyreal Arrow is available to push it to 3 stacks/your Wanderer's Minuet is about to expire and Pitch Perfect won't come off cooldown again before the final dot tick in that song.
The new Pitch Perfect was buffed in that when it's fully powered up, it's 450 potency instead of 420, with the non-powered up versions staying the same as before. While the principle above still applies, it's no longer as much of a DPS loss to go with a fully powered up Pitch Perfect. When taking into account along with the proc changes, it's likely that post-ShB, you'll usually be better off waiting for a fully powered up Pitch Perfect since you won't be getting double repertoire as much, what with the lack of ways to push proc rate higher aside from dotting multiple enemies.
(On a side note, I've been running a lot of random content, particularly dungeons where there's usually a lack of crit-increasing party buffs to simulate what a flat 40% rate at almost all times is going to feel like, since a BiS Bard has somewhere in the realm of ~38% base crit rate right now - I actually have 39% thanks to my Eureka bow. I am now wondering if a flat 40% proc rate might actually be too low, because 40% is still in the realm of where you could get really screwed over by the RNG to the point where I sometimes ended up with only 2 fully powered up Pitch Perfects in a full Wanderer's Minuet window. Consider that Apex Arrow will be operating off of those same proc rates too... While your Refulgent procs will be more consistent - though not by much since 35% is also in the realm of possibly getting RNG screwed - your overall DPS may be at the mercy of the RNG more than ever before. And this time, it's RNG you can't manipulate unless there are multiple mobs present. It's the same problem Machinist RNG had, although while their RNG couldn't be manipulated by the presence of multiple targets, they had force proc tools too.
Although admittedly, once again, one could argue that we're basically trading broken burst at the tail end of an expansion with the help of a few other classes, for more stability/consistency throughout the entire rest of the game. But boy is this going to feel bad for us raid Bards who are used to sometimes reaching the end of a fight with 45+% crit rate.)
To expand on the Army's Paeon stuff, in some fights, it's better to let Army's Paeon run the full length if you know the boss is entering an invulnerability phase during the time that you'd normally swap to Wanderer's Minuet.
On a side note, the reverse can be true as well. Some fights could even let you skip an Army's Paeon window entirely. A notable example of this is during the early Ultima phases in UwU, where the optimal starting song rotation is Minuet -> Ballad -> Minuet. This is because after the first Minuet, Ultima goes into an invuln phase that lasts long enough that by the time your following Mage's Ballad runs its full course, Wanderer's Minuet is either available or is about to become available again. Not capitalizing on it there is bad because doing the normal song rotation there means you'll have one less Wanderer's Minuet window for the entire fight overall/won't have Wanderer's Minuet available for the critical enrage phase - and UwU is known for having a SUPER tight enrage. This concept earned me my 97th percentile in there for my first clear, along with the smug satisfaction that I was usually the last person in my party to get nuked during enrage, when Bards are typically the first of the DPS to get blasted (the enrage nukes party members one by one from order of least DPS to highest).
As for the rest...
Double Snapping: DoT damage in this game is based on what buffs you have up when you apply (or refresh) them, and stay for their whole duration, which is why you typically want to Iron Jaws before buffs like Battle Litany and Chain Stratagem fall off, even if the DoT timer is still like 10-20+ seconds from expiring.
Foe optimization: This is honestly a small thing, but some hardcore groups will try to assist the Bard in maximizing foe uptime/aligning foe for certain party buffs/debuffs. Usually this involves the Bard using Refresh at strategic times to ensure they have enough MP to cast Foe for a burst window, or even going as far as to have the caster Mana Shift the Bard.
Troubadour: In many situations, the top Bards will actually map out a song rotation for an entire dungeon/boss fight, so that they will be in the correct song to use Troubadour during key sections where every bit of mitigation counts. Back when I progged UwU, I actually had a song rotation mapped out for the whole 16 minute fight, so that Troubadour would be available during Ifrit Nails/Titan healer gaol and tumults/Ultima pre-Annihilation AoEs. The Troubadour nerf (and I say nerf because current Troubadour is 30 seconds as opposed to new Troubadour only being 15) and the loss of Palisade is especially going to be felt during dungeon mass pulls, as my presence usually meant the tank would have extra 30%/20%/10% physical damage reduction for mass pulls.
Not sure what they mean by Barrage fishing though, because the only meaningful fishing that ever happens is fishing for a Triple Refulgent during a Raging Strikes window.
That said, I'm not entirely convinced Bard is a straightforward class to optimize even with these changes. After all, Bard is considered one of the easier classes to play already, and yet it has earned a reputation for having one of the largest class populations of players who are absolutely terrible at playing it, only beaten out by Samurai and Red Mage (both of which are probably considered even easier than Bard).