The most recent K-3II firmware is v.1.10, released August 2016:
- Corresponded to [KAF4 lens mount] that is equipped with an electromagnetic diaphragm control system.
- Enable new lens HD PENTAX-DA 55-300mmF4.5-6.3ED PLM WR RE to shoot stable by updating firmware.
- Improved stability for general performance.
This firmware update looks identical to K1 v1.20, also released August 2016 I believe:
- Corresponded to [KAF4 lens mount] that is equipped with an electromagnetic diaphragm control system.
- Enable new lens HD PENTAX-DA 55-300mmF4.5-6.3ED PLM WR RE to shoot stable by updating firmware.
- Improved stability for general performance.
Since then the K1 has had a couple more updates, including v.1.50, released just this July 2018:
- Optimized performance when attaching new lens HD PENTAX-D FA*50mmF1.4 SDM AW.
- Improved stability for general performance.
So it does look like it has something the K-3II doesn't have... Hopefully your suggestion is right that it's because it didn't have bugs that the others had. I haven't seen an explanation one way or the other.
If anyone wants to send me a copy of the new lens I can be sure to get to the bottom of it