(picture taken at the NRA convention in April)
Pretty small, right? What's not to like about a pocket gun that's barely bigger than a smart phone? Sure, it's not a primary arm, but it's not intended as such - it's a last-ditch, better-than-a-rock option for when you need that last little bit, right?
Except, let's get realistic. This isn't going to be a backup gun. It's going to wind up as a summer primary. Small, light guns are meant for pocket carry, and pocket carry just happens in the summer. When it's 90ºF outside, and all you're wearing is a pair of shorts and a tank top, who wants to go outside with a cover garment that just screams "concealed firearm", right?
So it winds up being the only gun you carry when it's hot - and that's not what it's made for. Two shots of any caliber - even G-d's Own Pistol caliber - aren't enough to bet your life on, especially not with vestigial sights and a light weight that's going to take that full power round and try to jump out of your hands. It's going to be uncomfortable to shoot, so it's unlikely to see much practice.
And while I'm loathe to argue for a smaller caliber, there's something to be said for 6+1 rounds of .380 ACP that can double as a summer carry gun:
Small pocket 380s have over three times the ammunition capacity inside the firearm, with a significantly faster reload. The Bodyguard shown weighs the same as the lighter DoubleTap, and the LCP is even lighter. With size difference between the pocket 380 and the DoubleTap negligible, and weight the same, it makes the "full power ammo" argument pretty much moot.
Certainly, small, light guns like the DoubleTap have their place. It's a supremely concealable firearm that's as reliable as a revolver (especially carried in a pocket) with full-sized power. As a last-ditch backup, especially if carried in the same caliber as the primary, it makes a lot of sense - if you carry a micro 1911 or Glock 26, having a DoubleTap in 45/9mm in a back pocket or in an ankle holster makes sense.
But as a primary, it's just not enough gun - and the danger of something this small and light is that it's going to become a primary gun...
That is all.