I have seen anecdotes of some exotic .380 ammo causing such problems as blasting the extractor clear of a classic-design Walther's slide. To be clear, I cannot confirm or deny these anecdotes, but I think I would hesitate to use exotic ammo in most .380 pistols. I used Remington Golden Saber in my Colt Mustang, but finally decided I preferred DA pocket pistols, and returned to J-Snub usage. This was in the Nineties.
Little by little, I am running ammo through my Walther PPK/s, to make sure it is trustworthy. When it is deemed trustworthy with round-nosed FMJ, I will try various non-exotic loads, and rather than worry about best terminal ballistics, will carry what feeds reliably, even if it means carrying with a 21st-Century load in the chamber, and much more mundane ammo in the magazine.
Why a classic Walther? Well, mostly, because the PP and PPK/s fit my hands very well, and the muzzles seem to tend to stay on-target during the long DA stroke, which is not true, in my long (though narrow and slim) hands, with many compact pistols. Many narrow, compact pistols tend to shift in my hand, when shot one-one-handed, but a PP or PPK/s tends to remain stable. (I reckon that if I am using a hide-out gun, it may be because I have been hit, and perhaps one hand or arm disabled.)
I think Glock may have finally gotten all of the bugs worked-out of the G42, and may try one.
Edited to add: I consider a .380 to be a tertiary weapon, perhaps secondary. I can usually manage to have a 9mm +P or .38 Special weapon on or about my person.