[JJ_SO]

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I suppose the apodization element can have an impact on PD AF but it should be irrelevant for CD-AF.
However, an 85mm f/1.2 is hardly aligned to action photography - at f/1.2 it's more than a gamble to hit the correct focus point in this case.

(And I do still enjoy the Fuji 56mm f/1.2 APD and see no reason for changing the verdict)

At the time of my decision to "upgrade" my 56/1.2 R I tried the APD version during a Fuji show. No one there and also not you told me the lens becomes useless in dark situations as the camera switches to the very slow CDAF. A hint would have been welcome as I would have saved some money. Lateron I found some reports and even Fuji tells you:

Users of cameras with phase-detection autofocus should note that contrast-detect AF will be used due to the presence of the built-in apodization filter. 

In the manual. Which I read when? Right, AFTER the purchase. What you wrote is

The effect of apodization filter is poison for phase-detection AF systems but in the mirrorless world, contrast detection AF is naturally available thus the Fujinon XF 56mm f/1.2 R APD can fully take advantage of this. While there's a slight penalty in certain situations, the AF speed remains certainly fast enough (without being really fast though).

Wrong. You can't call it a slight penalty when the lens just doesn't focus in dim light and with AF-C. Maybe you should start to understand that some of us use and need a fast apertures to take pictures in rather low light. I get it that you love the lens because of it's bokeh, but that's only one reason to pay an extra for a large aperture. Streetphotography in dim situations with this lens? Impossible. Wedding, concerts, stage performances? No go. This is a serious flaw, not just a slight penalty! It is a highly specialized portrait lens and fuji only puts an accent on "super bokeh" - the downside of that concept needs also be clarified.

And you say "... at f/1.2 it's more than a gamble to hit the correct focus point in this case."

Well, the Fuji lens also has f/1.2 and no real quick AF-C. And I think, in front of a Sony there's no gambling - the eye will be sharp. Can't say anything about the AF qualities of Canon R ML.