Shun ask is yhwach the new soul king in which Ichibie saids "the concepts of old abd new does not apply to the soul" Shun responds and saids so the power is in the name itself. So anyone sealed under the name soul king are not bound become the embodiment of the name which is does not have a concept of old and new cuz it's under the same name or existence. This alone should be Acasuality type 1 as their is not past associated with the name.
Seriously, don't try to force some deeper meaning out of this. One of the plot points in "Can't Fear Your Own World" involves re-writing the history books to claim the Soul King was "successfully defended" and never died. The idea that "old" and "new" doesn't apply to the Soul King is symbolic. Ichibei states it's simply about having "something here to revere and call Reio",
no matter which person was subjected to that fate.
It doesn't mean he's acausally "above the concept of old and new", no matter how much you push the issue. You are talking about the name of a
sealed undead, after all.
Aizen is clearly transcending causality. It states he transcends "the reason for things" or the cause for things. The kotosu is stated to be reason which controls space and time. Space and time being causality.
What we know about Koutotsu is that reiatsu normally doesn't affect it because of how it functions. It was meant to show just how powerful Aizen had become by having him destroy Koutotsu after his evolution.
We know Urahara's technology was able to alter the time distortions caused by Koutotsu, which is why Ichigo and Co were only sent back seven days instead of centuries. Time distortions happen when Koutotsu blasts its victims
out of the Garganta; Aizen destroyed Koutotsu
inside the Garganta.
This is what you think Aizen is based on this one scene: T
ype 5: Causality Transcendence: Characters with this type of Acausality transcend the normal boundaries of cause and effect, existing outside of the causality of a system. Even interacting with them normally may prove virtually impossible.
But there's no definitive proof of this being the case for Aizen.
As for the rest, the same applies, as the definitions for Type 1 and 2 are very specific:
Type 1: Time Paradox Immunity: Characters with this type of Acausality are rendered immune to changes in the past and standard temporal paradoxes, but remain just as vulnerable in the present and can be affected by normal Causality Manipulation and similar abilities.
Type 2: Temporal Singularity: Characters with this type of Acausality do not exist in either the past or the future, only the present. This means they cannot be affected by changes to the past, while also making them resistant to Precognition that works by viewing the future, as they do not exist within it, and Fate Manipulation, for the same reason. In essence, they are able to choose their own fates, but they remain just as vulnerable at the point in time in which they do exist.
Koutotsu functions by blasting victims across increments of time. It doesn't "change the past"; it sends victims
to the past. A character has to be explicitly shown to not be affected by changes to the past to possess Acausality Type 1.