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Parties themselves don't have a lot of money. And what they get from the state and donations they can't just spend it however they like. The Fidesz has a 2/3 in the parliament and through the ministries of the govt. they control the whole budget of the country.
Why they is it good for the Fidesz to meddle in the research? Well they build political capital from it. The Scythian-Hun origin was and still is favoured by people with nationalistic feelings and thinking. These people might support Jobbik, or Mi Hazánk, but Fidesz catering to them can show it is worth to vote for Fidesz instead of the other two.