De-zincification is common in old cartridge cases. Worse if they have been on the ocean. I have some Imperial Japanese Navy case, and a few British and Australian from WWI onwards.
De-zincification comes from exposure to the atmospheric oxygen – I guess. Not so good either if the case has been buried.
You can re-introduce the zinc again by electrolysis – think.
Western Australian Maritime Museum (in Fremantle) have had success in stabilising bronze cannons from Dutch wrecks recovered from shallow water on the coast. These ships ran aground in the 1600's. The Museum used a process of a controlled atmosphere rich in fuming zinc (so it was hot) and under pressure to force the zinc back into the metal structure.
About 30 years ago I attended a lecture by one of the Museum's curators. The lecture was about such things. They, the Museum, as world leaders in the process were also stabilsing a canon jetisoned (jetsum) from the First Fleet ship HMS Syrius after it ran aground on Norfolk Island – just after the First Fleet had landed at Botany Bay, N.S.W.
Not much help for your problem, but you may have to be satisfied with a "copper" finish – as they are very old.