There is a post here claiming that with dual pixel, linear motors are needed for top performance:
https://www.dpreview.com/forums/thread/4272426?page=5
Is that correct?
I think it is best to decompose the situation into a set of components with interfaces.
The lens's autofocus system knows nothing about what is commanding it. Depending on the particular maker, they have either chosen an encoded focus motion or unencoded. If it is encoded, usually it is an absolute motion; the lens is told to move to focus position xxx. If it is unencoded, it is necessarily a differential motion; the focus is told "move some unit backwards" where the unit is e.g. 10% of the current position.
The PDAF sensors in DSLRs run at pretty high speed -- usually 60Hz in cameras for mere mortals, and 120Hz in flagship or specialty bodies (D5, 7D, 1Dx, etc). They do not require more than one frame to compute the focus and object position estimates.
PDAF, at least the off-sensor variety is very 'confidant' and probably does not change the focus estimate very meaningfully as the lens is moving.
CDAF, by contrast is not very confidant at all and sends lots of very small motion commands kind of like PWM. It works at the live view scan speed of the sensor. I think on most Canon DSLRs, that's 120Hz at most. I know my 6D drops into 120Hz mode for the video preview. For a mirrorless camera, I really have no idea what speed live view scans at.
On-sensor PDAF is, as best I know, the same as PDAF except:
- The baseline is much shorter
- The amount of defocus present is much smaller. defocus actually helps a PDAF sensor work -- the one in a DSLR is intentionally focused quite a ways behind infinity
If this reduces the confidence and/or step size of the AF a lot and makes it more CDAF-like, then the preferred variety of motor would be linear, STM, etc.
If it doesn't, preferred is still ring USM, since it has the most torque and best efficiency which leads to the lowest power consumption and highest focus speed.
In short,
I don't know. But I hope these thoughts help.