This seems like just an attempt to change the news cycle, because there's no rule anywhere saying Wikipedia needs to be unbiased, any more than does Fox News or PragerU.
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How it's enforced is a detail. They have the Supreme Court to issue whatever verdict is required.
In fact, the most likely outcome to the House trying to play hardball with Wikipedia is a double-digit percentage increase in their donations. Which I don't think House Republicans mind, because none of this is actually about Wikipedia.
So, again, how is this supposed to work?