Now I don't have the time currently to work on such a page or figure out all necessary specifications. (and if this thread is supposed to go somewhere I would advise to not derail it with example cases)
But here my opinion on a few things:
Since I don't think absolute zero can clearly be demonstrated visually, but only through very specific description that the attack is stated to be absolute zero or something equivalent should be a necessary requirement.
Aside from that this is a bit difficult. For the most part I would think it might be good to just follow the
Statements article page on this.
Fast freezing is something all coldness attacks have and is not very supportive, because of that.
Superconductivity shows that it at the very least is very cold, but not necessarily absolute zero. That is still a supportive property though.
But aside from that? For the most part we could only have certain quantum mechanical effects (like superconductivity) that only happen when something is very cold or quiet specific things like liquid helium show itself.
In other words if we really require supportive properties like on lightning or lasers I have the feeling that we will not have many cases actually fulfilling those.
So I would actually not require supportive properties, but just believeable statements.
One can of course list things which disprove it being absolute zero. Though in fiction where everything can potentially just also resist the ability this is hard to do, not to mention that in some regards fiction authors also just don't know all properties so that some not being superconductive, even if it should be, is not that great of an argument either.