The Causality said:
Eh i was asked to comment here.
The Original translation said:
µ¼íÕàâÒüîÚüòÒüåÒéôÒüáÒéêÞ¿ÇÕ¢ªÒü«Õ╝ÀÒüòÒü»
| Iihiko's strength is in another dimension
This only could be taken either literally or as an Hyperbol, this is why Context is the key with statement, here we have an exemple of how Iihiko exert his other dimension strenght.
So it does in fact literally not state it's strength of a higher dimension, but just something that sounds similar to higher dimension, but in fact is something else.
That's more evidence against the idea of higher dimensional Iihiko, than in favor of it.
Point 1: The sca talk about how Iihiko's strenght work, the said scan is interesting since Tsurubami also talked about Ajimu's reality simultion which was about the fact that she thought that everything is in a Manga, by using what it said and what we know about Anshin's complexe, we can also suggest that this isn't solely about he Powernull anything with a power, but something more complexe that involve higher d stuff, there is also the Paper comparison.
A casual reader, that isn't approaching the work with our tiering system in mind, would not read the paper comparison as something about higher dimensions. Usually people would understand it as in the vein of "rip apart as easy as a sheet of paper", just meaning very powerful.
Ajimu's fiction complex doesn't really fit either. In our composite hierarchies we equalize reality-fiction differences to higher D space, but it isn't like that is an actual equality. The connection between higher dimensional strength and reality-fiction stuff doesn't exist outside our wiki, so there isn't much reason to assume that is intended.
More likely it is meant that Iihiko's overwhelming strength and invincibility has served as confirmation of Ajimu's idea of unbeatable main characters. In her head he was the first main character she encountered and his strength lived up to the tropes she assumed them to have.
Point 2: The ability don't reache him, this is also an interesting part of how Higher D work, nothing can arm it, even physical stuff, with the point 1, it make more sense for him not being affected by stuff, but that not only powernulled, it's said that it won't even reache him and don't even noticed them, just like how H D aren't reached by stuff, like when you for exemple can't be affected by abilities from a Manga you read, but the words
and feeling can reaches you (i find the comparison really funny and interesting but maybe my headcanon) But this ability is reliant of his strenght, if he recognize your strenght, you can affect him.
Attacks don't literally not reach him. Even when unharmed by the attacks we have seen him get knocked around by relatively mundane stuff, like getting hit by a car. The "attacks don't reach him" part IMO means more that he negates the damage before it ever effects him, then anything more literal.
And the argument made here is that not Iihiko himself is higher dimensional, but his ability is, so higher dimensionality as reason that things don't hit him would, IMO, not fit with the idea of higher dimensional abilities being reason for it.
Bringing up Ajimu's "Transcend Dimenions" skill just makes it even stranger. If Iihiko's strength would be based on high D stuff and the skill effect were literal Ajimu should be able to beat him easily... But of course we have already debated enough on the fact that we shouldn't give too much value to Ajimu's 3 word description skills, so this point doesn't really matter.
In total Tier 1 stuff should have high standards of evidence and this doesn't meet them, IMO.