A Chinese adaptor manufacturer has announced (Google translated English here) the world first full function K-mount to Sony E-mount adaptor, which will be made available by the end of this year 2020 (and is earlier than the launch date of the upcoming K-3 III)!
This adaptor will have screw-driving AF motor and aperture motor built-in and will support full auto functions of all K-mount lenses (possibly without any aperture block problem ;-P). The manufacturer states that the adaptor will first support A/F/FA/DA/DFA lenses which are screw-driven for the AF and will support SDM/DC/PLM AF function at a later stage via firmware upgrade.
They also mounted the three FA limited onto a Sony A7 III body via their adoptor, of which the combos look really tempting! :-D
And, their also shown a "video" to show the AF in action with the FA77 Limited, which the AF speed seems reasonably good enough, as long as the animated gif was not accelerated. ;-)
After all, I will almost certainly buy this adaptor (as I bought my A7 III two years ago) and still own more than three dozens of the Pentax or K-mount lenses (and most of them are AF ones). Possibly I shall skip and not buy the K-3 III as I found my KP is actually better for my use and shooting style. :-(