From what I can tell the embedded profile in the
Air 2S only does vignette correction.
Note that lens profiles don't do "perspective correction", but they can do distortion correction (and with a "flat" image you can then apply perspective/etc modifications in software).
@robgreaves you say you like the images from your
Mini 2?
I decided I wasn't quite happy with the images from my
Mini 2. Both the vignetting and the stretching towards the edges.
So I set up my import scripts to use Exiftool to remove the embedded lens profiles (exposing the underlying image in Lightroom/etc). And then created a fresh lens profile from scratch, and made it default for the
Mini 2. Along with a custom dual-illuminant DNG colour profile.
Now I really like the
Mini 2 images!
If I had an
Air 2S I'd be making a fresh set of profiles fairly early on. It is a bit of investment in time, but I think it pays off. I don't know how much inter-sample variation there is across the
Air 2S population, but a custom profile would obviously be made from that specific camera.
Adobe provide the tools for us to build our own profiles, but it does need some careful work to make a good one.
I've done it for many of my SLR lenses (including when combined with teleconverters) as Adobe doesn't provide all possibilities.
A good lens profile will cater for variation in focal length, focus distance, and aperture. Essentially we make "sub-profiles" for a variety of settings, and Camera Raw will then interpolate between them for the current photo's settings.
The
Mini 2 is a nice simple case, with one focal length, fixed focus, and fixed aperture.
The
Air 2S is only a bit more complex. Probably one for hyperfocal/infinity distance, and one for something closer.