I'm going to make some chicken wings in my air fryer (https://www.foodnetwork.com/recipes/food-network-kitchen/air-fryer-chicken-wings-5565422). I have 1.5 lbs of wings which is too much for me to eat in one sitting - so my question is is it better to cook them all now and then refrigerate and reheat some tomorrow or cook half now and cook the other half tomorrow? 
I would just say that you are translating the terms too literally. In the USA, it is typicall to sell flour made from hard spring wheat under the name "bread flour", because people there traditionally enjoy bread made from it. In other countries, people have different expectations of their bread, and hard spring wheat was probably not even available prior to globalization. So it is logical that companies there formulate flour to produce the locally preferred bread texture, and sell it under a term which literally means "bread flour". This is a very common linguistic/cultural phenomenon - in different parts of the world, the local term for "cheese" without further qualifiers means a very different style of cheese.   I have never been in Hungary, but on the Balkans, traditionally, there is a preference for soft, fluffy, white bread. So I wouldn't be surprised if this Hungarian company has formulated their bread flour to produce something in that direction.  