Over the years I have gone through thousands of rounds of WW2 surplus, and also some WW1 ammo. All good stuff, never any problems.

When the police department supplying my paychecks traded off all the old Thompson SMG's in the 1970's I was able to buy all the GI-surplus .45ACP I wanted for a nickel per round. Steel cases went into the trash, but all the brass is still in use decades later.

Corrosive primers? Yes. So a little hot water and dish soap as a first step in cleaning the pistol after firing. If you can't find hot water you can always use a $2 can of GI-surplus bore cleaner, which will last for decades (even if it does smell awful). No better bore cleaner on the market, IMO.