I can’t even begin to imagine how humans would have interpreted such an event.
Wikipedia doesn't quote the records associated with 1054, but does quote the record of a supernova in the year 185:
> In the 2nd year of the epoch Zhongping [中平], the 10th month, on the day Guihai [癸亥] [December 7, Year 185], a 'guest star' appeared in the middle of the Southern Gate [南門] [an asterism consisting of ε Centauri and α Centauri], The size was half a bamboo mat. It displayed various colors, both pleasing and otherwise. It gradually lessened. In the 6th month of the succeeding year it disappeared.
( https://en.wikipedia.org/wiki/SN_185 )
What people thought appears to have been "sometimes there are new stars, but they go away again".
And it tells us nothing of what people on other continents thought. The null hypothesis would be that it varied.
Wait, what? The Wikipedia article on SN 1054 has an extensive discussion of the Chinese records (https://en.wikipedia.org/wiki/SN_1054#Chinese_astronomy), as well as Japanese records and the Arabic account of Ibn Butlan.
That's a pretty dubious assertion (and I notice that there aren't any references to which archaeologists supposedly believe this), since:
a) I'm pretty sure there aren't any examples of buildings or structures being "influenced" by this or any other historical supernova in any other cultures; and
b) No mention of the supernova of 1006, which was brighter and longer-lasting than the supernova of 1054?