Edit 1:
Being able to search by the original name of an organization, at least in my empirical tests, makes a lot of difference for those who want to know more. English is the most common working language in the field of AI and computing, and sometimes some organizations may prefer to use that language, even if the country of origin does not have it as their official language. But this is not always the case. Some cases, even if the organization have some page in English, it can be just a tip of the iceberg. Without dig deeper with original name is even possible to not find some wikipedia page.
So, even if I can't do the full confirmation, I'm open this issue just to make clear that worth the effort to have original names, since this open the possibility do discover more. But at the same time the cases I'm not sure I will make a different mark on the document in non-English names that needs some revision and recommend do not use the term in derived works.
In general is more for languages that do not use Latin alphabet and the official site or well maintained Wikipedia page (the English version) already do not have very clean the original name of the organization.
Note: If eventually this repository receive suggestions from other people, in some cases, even if the person who submits seems to be a native speaker, I will mark the non-English names as need re-confirmation.