I assume because that Aizen can do it with Reiatsu Crush because of the gap between him and the disintegrated pile in question that anyone with as big of a gap in power between them and another disintegrated pile in question can do it.
Otherwise, why would Yhwach be able to do it, as you believe, if it wasn't based on raw power and that alone.
I'll agree that not every Energy Blast has the same mechanics and execution, but if it established that what is being done is basic and not complex or unique or doesn't require specific traits to exercise, and that it is something anyone with the traits necessary to do so can do, then it's probably not something worthy of being considered unique, even if it seems different.
If characters are master swordsman, perhaps Aidoh (pulling out your blade from the sheath and cutting the enemy down ASAP), which is a unique technique that requires a specific application of traits and mechanics might not apply to every swordsman. But swinging a sword does, whether it's a stroke done vertically or horizontally. If you're not a swordsman, you might not be able to do that.
If my argument is simply guess work, yours is too. Because you're also adding the idea that only Aizen can do it "based on your observation", rather than just shrugging and ignoring it like we do with most logical paradoxes.
Again, I CAN grant you that just because Aizen did it, doesn't mean anyone else can. You must accept, however, that just because Aizen is the only one who did it doesn't mean he's the only one who can.
And if these are both true, we reach an impasse— which was my point. Because then, we have two options. Either ignore it, or we go by the one that supports what we know the most.
And since even you recognize this is done with Reiatsu Crush, and it is likely associated with said Mechanic based off of his statements and what we know about the Verse, it's more likely that it's something not unique to Aizen, but his circumstances (as I said), and thus, anyone with matching Circumstances should be capable of the same thing.
Meaning the Soul King and anyone who scales AP wise...?