The really small ones have little or no practical use. (This is not the same as having one - or more - for a collection, plinking, etc. Not all uses have to be practical. ) The .22 Magnum Black Widow has some merit for a small backup gun. But it costs as much as some of the .32 and .380 pocket pistols.
Yep ... the littlest bittiest .22short models aren't
that much smaller than the .22mag versions.
And I agree that a the NAA revolvers aren't much smaller or cheaper than ... oh, as an example, a KelTec P32, which is
my mousegun of choice. The NAA
is cheaper to feed, however. The NAA might have a slight edge in reliability, also. (someone will be along to tell us all about how rimfire ammo is 100% unreliable any second now ... the premium .22wmr and even the top-end .22lr are pretty damn reliable, though)
I missed the "intimidation factor" part of the OP ... get any thoughts of that out of your head
now and understand the concept of "shoot to stop" (hint, it applies to not-fired-yet and missed shots to some degree)
Even the silliest .22short single-shot derringer is lethal force, you don't use lethal force for "intimidation"