[vkou]

Cavalry absolutely had a place in WWII.

That purpose wasn't doing pike-and-lance charges into panzer lines. Just like most motorized units, WWI and WWII cavalry didn't fight from horseback - it would use horses to get to where they were going to fight, and dismount to fight.

The Eastern Front had a lot of terrain that was not conductive to wheeled travel.

Cavalry is also far more cost-efficient at hunting down partisans, and terrorizing civilians. It doesn't need petrol, you can just steal horsefeed directly from the people you are occupying.

[TedDoesntTalk]

Not so much by the US Army; perhaps by other armies. See my sibling comments about Maj Gen John Herr who was side-lined then forced into retirement because of his views of cavalry during WW 2.