When I was seeking a "deep-conceal" gun several years back, I certainly checked into the pocket-380 class. At that time, the three contenders were the Kel-Tec P3-AT, the Ruger LCP, and the Taurus PT738 (TCP.) Taurus and Kel-Tec were also making versions in .32ACP.
I was already carrying a PF9, and was well familiar with having a gun that could easily be run, but was downright unpleasant to try to enjoy.
The Kel-Tec P32 offered less muzzle flip and recoil, allowing for faster target re-acquisition. It also offered a last-shot slide-lock, and an additional round in capacity. On top of those, it was also a tick smaller and lighter than its .380 counterpart.
That's the gun I selected, and I've been pleased with it since. Later, I got one of the KT 10-round magazines for it, and the pistol, with 11 rounds on board, rides with me in a pocket of my uniform while traveling to and from my no-carry work site.
Earlier this year, I picked up a Taurus TCP (used, but in like-new condition, from 2016) at a LGS. It does like to snap my hand around some, especially in one-handed fire, but no worse than the PF9, and I can hit with it at the range. But, for the carry situation I just mentioned, I prefer eleven rounds of .32 to seven of .380, and those eleven rounds are a little easier for me to direct to their mark.
Oh, yeah, I do own a NAA in .22LR. It's more of a "hideout" gun than a "backup" gun, though, and never a "primary."