As a user of both the AFDIII P45+ and IQ160, then the DF, (which was offered as a upgrade when I purchased my P45+ kit), the AF was the same, no improvement, still 3 hits basically to really get a good AF hit.
The other issues the DF inherited from the AFDIII, were the lockup issues, bad battery life and communication unless Li-On AA's were used (which I did not do to cost and availability in the field locations I shot at the time). Lockups were standard and common, most times required a total power off, and sometimes required a battery pack pull. The firmware could only be upgraded with the Grip installed as it had the USB port.
Many folks still don't realize most of the modern Mamiya AF lenses require firmware, from the 105-210 generation on up. The firmware needs to be current with the camera and can be a mess at times and that also caused lockups, (at least on my Mamiya 28mm non LS).
The DF+ came out, with a improved AF and the ability to microadjust the AF (only one lens could be done and none were stored as I recall), but the AF was much better, and more reliable. The battery pack was changed to the LI-ON back, and for most the lockups went away. Not for all as there have been reports even with the XF doing this type of lockup.
The real take away from all of this, you really need to work with a dealer on these issues. It's next to impossible to talk to Phase One directly, (in NY) and if you open a tech case online they are not going to authorize a replacement of hardware. This equipment can be finicky and firmware updates can create bigger issues. Once you have one, it's not all that easy to get back. The latest Phase Firmware currently for the XF and IQ123 backs, has created a bricked back in several situations. Yet Phase has not reported this or pulled the firmware, but you can find several reported cases of this on different forums. So again, main take away is find a dealer and work with them, or you might need to consider a different purchase. Phase One gear IMO still requires more hands on support than other types of camera gear.
Paul C