I had a pre-war PP that tended to feed some .32's better than others, but was perfect with...none.
Several years ago, a German wrote an article on German police handguns for one of the (then) Petersen titles. He reported that the local cops admitted to him that their PP and PPK pistols, all 7.65's, seldom went over 50 rounds without a jam. These have now presumably been replaced with one of the "approved" 9mm's.
My only .380 was a Beretta M34, made about 1940. It never balked with American ammo, but accuracy was just so-so, about hand-size groups at 25 yards. I've heard that Berettas tend to be more reliable than Walthers, so maybe the M35 .32 would also work fine, as I've read that the .32 Colts did. I admit that the semi-rim on the .32 makes me uneasy, and you can SEE variations in rims between manufacturers.
Sanow & Marshall claim that stopping power between good rounds in both calibers is slim, both being about 60-65% effective on one-shot stops. Of course, some claim that S&M write fiction...
Lone Star