Vanda Valyi scored three times on three shots for Hungary, which finished fourth in each of the last three Games. Captain Rita Kesthelyi had two goals.
Konstantinos Genidounias scored five goals to lead Greece to a 10-4 victory over Montenegro in the quarterfinals of the Tokyo Games.
The world is pushing back at the Tokyo Games, and it remains to be seen how Steffens and company respond.
The host country is zigging while the rest of the world is zagging, playing an aggressive, pressing defense and going without a massive center in the middle.