.com.unity Forums - Mounted infantry shooting

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But I think you are probably right in assuming that as the war progressed from mid-1943 onwards and particularily as it moved into more built-up areas and the more intensively cultivated farmland of central Europe, such methods became more difficult to use. And against the Western allies, it was probably even more difficult. But mounted combat stayed part of the Panzergrenadier curriculum to end, as far as I can tell.

I think reduced manufacturing capability also played a factor here. They did not want to risk losing the halftracks as using them for moving supplies & personnel hence keeping them "fresh".
Certainly in a book I read (cant remember commanders name) on the Eastern Front they virtually stopped having Mech infantry supporting armour break outs as the halftracks were just to valuable.