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You might need to find a stone in between the DT and the PHIG, on my versions of those stones I couldn't go from DT to PHIG I need a Norton 8k or equivalent in between

Naturals don't need 1/8" like some synthetics. 1/8" Off a hard PHIG or Arkansas hone might kill me or at least give me tendonitis lol!!!

Mine is also the AJ set

I use the whole set often if I want to use a natural stone progression. I use my PHIG (C12k) the most as a finisher with the fine dark stone from AJ 2nd, it's a faster cutter than my Chinese hone.
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I've got the same set and I've done a bit of testing, the DT will degrade a Norton 8k edge, the purple maybe slightly improves my N8k edge, the dark one improves the N8k edge noticeable. That's my...

I have a dark grey DT and it works fine as pre-finisher (probably 5-6k). I use mine when I want to use all naturals after the bevel set