I own and use both … the ergonomics are somewhat "different"!
The K-3iii is very much in the continuing vein of Pentax DSLRs … if you already own one you'll feel immediately at home with this body, the shutter button and control wheels are exactly where you'd expect them to be!
The designers apparently spent some time fine-tuning the grip and control placement … they got it right!
I bought the K-3iii as an "a/f upgrade". In that role it serves well for wildlife work, mostly birds.
In my mind, the KP was a design exercise, trying to replicate an older camera, with the shutter button on the top of the body instead of slightly in front and the front control wheel added almost as an afterthought.
Having used my KP extensively with the largest of the three grips, 'cos that "looked" most like my other DSLRs, the arrival of my K-3iii left me with a KP with no real job to do , so I started to fiddle around, and found fitting the smallest grip, everything started to make sense!
Although the physical measurements of both cameras appear similar on paper, the KP with the small grip "feels" very much more compact in the hand. There's no big right-hand bulge, just so much more "retro". In my hand, the shutter button placement seems so much more natural with the smallest grip fitted (wish I'd realised that earlier!!)
With a "standard" zoom (eg. 18-50mm DC WR RE) fitted and some telephoto capability in my bag (FA 100-300mm or modern equivalent) the KP is an ideal "
outdoor and travel companion". The built-in flash makes it just that little bit more flexible … if I was using the K-3iii for that purpose I'd want to have a separate flashgun, just in case
The KP is also some 100+gm (4oz) lighter, a thought if you're carrying it for any distance.
The KP's autofocus is very good, especially with the latest firmware installed. Not stellar, like the K-3iii, but a very significant step up from the earlier firmware and even more so from the earlier cameras. Inevitably, both cameras will benefit from a wider aperture lens if being used for indoor sports! On paper the K-3iii has an extra stop of low light sensitivity, EV-4 against EV-3 for the KP, but only with an f/2.8 lens!
I've absolutely nothing to say against either camera, they are both superb, but inevitably the K-3iii is even "more superb" … even if you do need a separate flash
Just my tuppence worth … having used both cameras I thought there might be something of use in my ramblings