We used horse cavalry in WW2 in the middle-east as well. At one point British horse cavalry was fighting Vichy French aircraft.
EDIT: People tend to see the Wehrmacht as this fully mechanized beast of an army. Truth is the vast majority of soldiers walked into battle, with animal drawn carriage for their stuff from food to field guns.
Quite fascinating topic, horses in WW2. I'll have to some more research on this.
There’s a new book on cavalry in WW2 being published soon look out for it.