The reason it turned out to not be the case in your situations is that the extractor was holding the .380 in the proper place and allowed the firing pin/striker to hit the primer properly. It can happen either way, but usually the extractor will hold the cartridge in place as yours did.
Glad you were not hurt.
but usually the extractor will hold the cartridge in place as yours did.It was the first round in the magazine. And I was much more tentative about racking the slide back then. If it had fed from the middle of the magazine, there would be a different story told. And probably typed by someone with fingers.
Always check ammo. Always.
I did luck out. I am glad also.
/john