Is US healthcare always paid even in the most extreme circumstances?

Like imagine you suffer injuries in an armed robbery, or from a hurricane or other severe climactic event. Do the hospitals still expect you to pay money even in those cases? I imagine it also applies to police brutality.

I ask because an acquaintance got a broken leg from being ran over by police in a protest recently and, naturally, everybody just called an ambulance and they got to the hospital and that was that, because free healthcare here is a universal right (even if severely underfunded). But then with the recent protests in the US I realised even getting a broken finger from being handcuffed could actually cost people real money.