701 to 708 movements are inventory movements for storage locations which are not warehouse managed., for warehouse managed locations the inventory movements are from 711 to 718
if you have an inconsistency, then you have to use LX23. Normal movements will not help at all, as any movement carried out in IM for a warehouse managed location will result in a WM posting too. You cannot do any movement independent from WM in a warehouse managed storage location.
As you just said that the second case would be your case, it is somehow contrary to your initial description. you said you have no stock in WM, now you are saying you have this stock but just in another stock type.
I think it would be a big help for yourself to post screen shots of MMBE and LS24