No "fact checking" will ever be allowed on many subjects, such as "Auschwitz", where even total myths are allowed to remain as though they were "facts". References are only made to other myth-supporting documents to support the articles. Anything that fails to support the myth is deleted.
You will instantly and consistently get shut down on Wikipedia.
The reason for that is that you are a Truth Crusader. It doesn't matter if you are Right or Wrong. Wikipedia shuts down Truth Crusaders on EITHER sides of any issue by simply declaring that Wikipedia is not a place to debate, or resolve, matters of Truth. Wikipedia pages are not filled with "Truth", Wikipedia content accurately reflects the content of "Verifiable Reliable Sources". If "Reliable Sources" consistently state something which happens to be false then Wikipedia is going to ACCURATELY report that that is what Reliable Sources say.
(Some might comment on the contradiction of "Reliable Sources" which contain false information. The world is an imperfect place, and no one can expect perfection in anything. The definition of "Reliable Source" is a set of criteria that establish a broad class of sources as reasonably reliable in general, independent of the fallibility of any particular source on a particular thing. So yes, a Reliable Source can be wrong, and Wikipedia will accurately reflect that wrong information up until the point when other Reliable Sources correct that information.)
If you want to wage a Truth Crusade exposing the "myths about Auschwitz", then Wikipedia is not the place to do it. Wikipedia does not and will not lead on that subject, nor will it lead on any other subject. Wikipedia follows. Wikipedia follows Reliable Sources. If and when you convince Reliable Sources to expose myths about Auschwitz, Wikipedia will gladly update to accurately report what those Reliable Sources say.
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