Motor, since it's intended for CC, and might be needed to save your hide, why would you go with a rather anemic caliber, even if it does operate at half the pressure of the 9MM??? The 9MM has probably had more R&D work to improve terminal effectiveness than any other handgun caliber on the planet. Without even going to +P and +P+ ammunition, due to development of very effective projectiles, even standard pressure 9MM ammunition can be very effective.
Another factor to consider might be functional reliabilty between the two calibers. I don't know what pistols you're considering, but over a lot of years, I've seen many many more malfunctions with .380 pistols, by various manufacturers, than I ever have with pistols in 9MM......ymmv
BTW, within my humble experience, the .380 blowback pistols have recoil all out of proportion to the relatively minimal energy of the caliber. In fairness, I did recently have the opportunity to shoot a small .380 pistol with locked breech that did display very soft recoil. SIG P238, I believe, was the model.