The only units who used the MH during 1943/4 was the Artillery units of the 6 SA Armd Div.(7/23 and 1/6)
"A" vehicle returns for this period show a handfull of MH Mk II Op's being used for training in North Africa until middle Feb 44. By the end of Feb 44 they are no longer reflected on the returns. It seems that at this time the Daimler and White Scout cars started to arrive and this is reflected in the returns.
It may be possible that one or two went over to Italy with the Division as part of the echelon but I still have to see a photo or find a return showing this. Until then it seems as if all MH were handed back to dumps in North Africa before the Division left for Italy. Nothing is impossible and I keep on looking.